The position of a crate sliding down a ramp is given by x = (0.15t²) and y = (1.5t³+1), and z = (6 -0.14t1.5), where x, y, z are in feet, and t is in seconds. At t= 1.2 seconds, find the following:a) magnitude of the position s of the particle.b) speed v of the particle. (c) magnitude of the acceleration a of the particle.

Name: The position of a crate sliding down a ramp is given by x = (0.15t²)
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: The position of a crate sliding down a ramp is given by x = (0.15t²) and y = (1.5t³+1), and z = (6 -0.14t1.5), where x, y, z are in feet, and t is in seconds. At t= 1.2 seconds, find the following:a) magnitude of the position s of the particle.b) sp

Answered: Image /qna-images/answer/31b510d8-f9fa-4ed9-a5f1-460a80ec833e.jpg

Answered: a) magnitude of the position s of the…

Science

Physics

a) magnitude of the position s of the particle. b) speed v of the particle. ( ) c) magnitude of the acceleration a of the particle.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 40P: Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from...

See similar textbooks

Similar questions

Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40
A diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height of h subscript m a x end subscript= 20 m above the top of the cliff before falling to the water below. He hits the water x=295 m from the base of the cliff. Determine the height of the cliff, h. Take g=10m/s2 . Round your answer to one decimal place.
√√3 =(√³1) 1+ (1-161²) The equation r(t) = vectors at time t = 0. j is the position of a particle in space at time t. Find the angle between the velocity and acceleration The angle between the velocity and acceleration vectors at time t= 0 is (Type an exact answer, using as needed.) radians.
A pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can reach, in meters? Use g = 10 m/s2.Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A car P travels along a straight road with a constant speed v = 79 mi/hr. At the instant when the angle 0 = 69°, determine the values of r in ft/sec and 0 in deg/sec. Assume/= 130! Answers: r = 0 = i i 18 Ma V. ft/sec deg/sec
A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' distance for the trip.
The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect metersc) Find the total distance traveled by the object from time 0 to time 3. meters
A bottle rocket is launched straight up. Its height in feet (y) above the ground x seconds after launch is modeled by the quadratic function: y = -16x2 + 124x + 8. How many seconds did it take the rocket to strike the ground? O 8.59 seconds o 7.814 seconds 7.31 seconds O 8.295 seconds b n
A group of bird watchers sights a bird 120 feet due west of their position. The bird is flying due south at a rate of 400 feet per minute. a) sketch a labeled picture that represents this situation. Use s for the distance ( in feet) that the bird has flown, and d for the distance between the bird and the bird watchers after t minutes( where t>0) b) Express d as a function of s c) Express s as a function of t d) Find d of s What does it represent d of s = it represents__________________________________________________________________________________________________________________________________________________
One of my questions got solved and helped me so much thank you! Here’s another one please. Two trains are 9.82km apart. They travel in opposite directions, to each other. Train A has a speed of 5.87 km/h at departure and an acceleration of 0.29m/s squared. Train B has a speed of 20.3m/s at the start and an acceleration of 0.69m/s squared. B. Determine when the trains meet.
You attach a meter stick to an oak tree, such that the top of the meter stick is 2.672.67 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.1860.186 seconds to pass the length of the meter stick, how high ℎ0h0 above the ground was the acorn before it fell, assuming that the acorn did not run into any branches or leaves on the way down?
Part A) A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the projectile's maximum height hh. Express your answer in terms of the variables v0v0, θθ, and appropriate constants. Part B) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part C) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part D A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units. Part E) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.