Question : Let θ be angle of projection , α be angle of elevation to highest point (from point of projection) and β be angle of elevation to highest point (from point where projectile meets the ground). Prove tan(α) + tan(β) = tan(θ)

Question : Let θ be angle of projection , α be angle of elevation to highest point (from point of projection) and β be angle of elevation to highest point (from point where projectile meets the ground). Prove tan(α) + tan(β) = tan(θ)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...

See similar textbooks

Related questions

Q: **8. For each of the following right triangles, the magnitude of the hypotenuse and one of the…

A: Part a.Write the expression for magnitude of the hypotenuse of a triangle.

Q: The displacement vectors A and B shown in the figure below both have a magnitude of 3.10 m.The…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop…

A: Given: A woman wishing to know the height of a mountain measures the angle of elevation of the…

Q: The x-component of vector R is R = -31.0 units and its y-component is R, = 31.6 units. What are its…

Q: Mr. Muscedere is a professional race car driver. The race track he is about to drive on has a curve…

Q: Use the formula x=1/32 v² sin 20 to explain why the projection angle that maximizes the distance a…

A: In the given expression, v is a constant, and x and θ are the two variables. The maxima of x may be…

Q: A woman measures the angle of elevation of a mountaintop as 12.0°. After walking 2.62 km closer to…

Q: The summit of a mountain, 2330 mm above base camp, is measured on a map to be 4850 mm horizontally…

A: Displacement is a vector quantity whose length gives the shortest distance between the initial and…

Q: D= B-A NOTE A = 3 B = 3 Angle between A and B = 60° Please solve and no reject thank u this…

Q: Problem: A ladder 6.4 meters long leans against the walls of an apartment house forming an angle of…

Q: Consider the three displacement vectors = (−2î − 3ĵ) m, = (4î − 5ĵ) m, and = (−6î + 5ĵ) m. Use…

A: Given data: A= (−2î − 3ĵ) m B= (4î − 5ĵ) m C= (−6î + 5ĵ) m Need to determine the magnitude and…

Q: two points are given in polar coordinates by (r, ?) = (2.20 m, 50.0°) and (r, ?) = (3.00 m,…

Q: F, : 2,15 F =2.45 @ 120 Fr -1.8 F=1.96 @ 200° 126 200 F2= 1.96

A: Given: The force F1 is 2.45. The angle is 120 degrees. The force F2 is 1.96. The angle is 200…

Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

Q: • Mr. Muscedere is walking to Mr. Timm's house. He takes a short cut across an open field. His first…

Q: HELP ASAP Given | a | = 5, | b | = 8 and the angle between them 150°, find a) the magnitute of…

Q: iS 1, 2 and 3 are all correci is 1, 2 only are correct is 2 and 3 only are correci is I only is…

A: Wave-particle duality theory: It states every particle or quantum entity can be illustrated as…

Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

A: Given that the angle of depression of an object on the ground from third floor window of a building…

Q: Frx 3.2 5-245 @240 F = 1.47 @ 50° Fr Fz = 1.96 @ q0° 50 F 2.45 @ 14O°

Q: Mr. Muscedere is driving in his car at a speed of 60.0km/h. He suddenly sees a chicken crossing the…

A: Initial speed = 60 km/h Acceleration for first 1.4 sec = 0 m/s2 Final speed = 0 m/s

Q: 7. Consider this time three vectors pointing at different directions. The first vector has a length…

Q: Vector A has x and y components of -8.7 cm and 15 cm respectively; vector B has x and y components…

A: Given : Vector A = -8.7 i^ + 15 j^Vector B = 13.2 i^ - 6.6 j^ A – B + 3C = 0 Determine the…

Q: When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the…

A: Given information: The depth of the drainage (a) = 2.80 m The height of the person (h) = 1.88 m The…

Q: At take off, a plane travels 25km at an angle of 35Degrees from the ground, then changes direction…

Q: What is the slope the graph A versus B? For a given set of values A (2cm, 4cm, 6cm, 8cm, 10cm) B…

A: A (in cm) B (in cm) 2 0.8 4 1.6 6 2.4 8 3.2 10 4

Q: For an angle, u measured from the positive x - axis, the valuesof sin u and cos u are always (choose…

A: Maximum value of sin and cos functions are +1 and the minimum value for both is -1.Thus, option (d)…

Q: polar angle of point

Q: When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the…

A: The depth of the ditch is D = 2.80 m. The distance of eye to the ground is h = 1.84 m. Assume the…

Q: what is the sum of the X components?

Q: If a vector A has components A, = -4 and A, = -3, then A lies in %3D the O a 1st quadrant Ob 2nd…

A: When a vector lies in third quadrant, then both scalar components ( Ax , Ay ) is negative. Given,…

Q: he drawing shows a person looking at a building on top of which an antenna is mounted. The…

Q: A protractor is made so that the edge of its scale is 7.5 cm from the center point. If the scale is…

Q: Use the magnitude and the angle to find the components of the sum.

A: In the table you are asked to execute three processes- simulation, algebric and graphical solution…

Q: Mr. Muscedere, Mrs. Muscedere and his daughter are playing a game of tug of war by pulling…

A: given as game is tug of war , that means a roop is pulls in two opposite direction . so -

Q: extrapolate a graph using the given on the table

Q: Assume that you measure the dimensions of a rectangular prism with a micrometer caliper many times…

A: The three dimensions of a rectangular prism is determined and that are given by Height, h=15.1…

Q: please answer question and just send me the paper solutions asap dont type the answer please and…

Q: For problems 1 – 6, use the triangle to the right to find the given trigonometric ratios. 1. cos N =…

A: 1. cos N = MN/NP cos N = 9/15 2. sin N = MP/NP sin N = 12/15 3. tan N = MP/MN tan N = 12/9

Q: What is the angle θDθDformed by D⃗ (from the picture) and the +x+xaxis? Use counterclockwise to…

Q: Two blocks are connected by a massless string over a frictionless pulley as shown in this diagram.…

Q: Question 16, A 7.0 kg mass is connected to a 1.0kg mass over a pulley. The coefficient of kinetic…

A: Given: The hanging mass is 7 kg. The mass on the inclined surface is 1 kg. The coefficient of the…

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: The distance travelled along the blank to establish the baseline, x = 112m.The angle from the…

Q: 620 62° m

A: Given,Tension in the rope, T = 2850 Nmass of the block, m = 325 kgrope makes angle with horizontal,…

Q: A student adds two displacement vectors with magnitudes of 6.0 m and 8.0 m, respectively. Which one…

A: Let the displacements be x and y x = 6.0 m y = 8.0m The required value can be ranged from the…

Q: Help solve for two part question A) Cross Product, rectangular coordinates: If A = 7 i + -6 j and B…

A: Given A1 = 7 i + -6 j B1 = 2 i + 0 j, A2 = 4 < 29 = 4( cos(29) i +sin(29) j ) B2= 9 < 52…

Q: Graph this vector and solve for what is unknown in the problem. 1. Using sine and cosine law…

A: Given that: V1=3 m, NV2=4 m, 30° N of E

Q: Complete the calculations and report the answer using the correct # of significant figures. (7.91 cm…

Q: When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the…

Q: The hypotenuse of the following triangle is 42 m and the angle is 30° a. Find the y component b.…

A: Given, hypotenuse = 42m Angle = 30° y component = hypotenuse×sinθ x component = hypotenuse×cosθ

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

100%

Question : Let θ be angle of projection , α be angle of elevation to highest point (from point of projection) and β be angle of elevation to highest point (from point where projectile meets the ground).

Prove tan(α) + tan(β) = tan(θ)

Note : Dont Copy from any other Website, Answer with quality and correct explantion if you are real expert

All The Best :D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
The arc length formula says the length sof arc subtended by angle in a circle of radius r is given by the equation s=r . What are the dimensions of (a) s, (b) r , and (c) ?
The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)
Please answer question and just send me the paper solutions asap dont type the answer question and use xy sepreate t chart and dont forget to find the angle too and show the let statement use this formula only ASAP
Please answer the following question(s): 1. Calculate a: 8 cm a = a 5 cm Note: the angle should be in degrees. If you use inverse trigonometric functions in the Mathtype tool the angle returned is in radians. O SENSE MAKING What are the maximum and minimum values a can have? Do your calculations support that?
Learning material says that the answer is Ff = 244.29 N, but it didn't show how to get that answer. Other answers found on this site say it's 1646.45 N. Which one is the wrong answer? How is it wrong? Please enlighten me. Thank you.
Needs Complete typed solution with complete explanation and 100 % accuracy. Otherwise skip if you can't give complete solution plz .. thank you.
Can you solve these problems and show steps w/ brief explanations? thannk you.
The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help youout
Question to answer: Can you explain to me how did the expert came up with their conclusions on each angle. Specially the 75 on the upper part. I am confused how did they arrived with those values when 125 and 65 degrees are only given in the problem. 1st pic is the problem and next is the solution annd the FBD. Please, I need ur help immediately. Thank you so much!
From the third floor of a tall building, the angle of depression of an object on the ground is 35.3, while from the sixth-floor window, 9.91 m above the first point of observation, the angle of depression of the same object is 68.3. Find the distance of the object from the building. Express your answer in 2 decimal places.
I need detailed and step by step ans