A race car starts at rest and accelerates in a circular path (r = 500 m) to a speed of 35 m/s in 11 s. If the tangential acceleration is constant, determine the magnitude of the car's net acceleration at the instant when the speed of the car is 15 m/s. O A. 27ms? O B. 3,2 m s? OCAsms? O D. None of the other answers
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- A particle at rest leaves the origin with its velocity Increasing with time according to v(t)=3.2tm/s . At 5.0 s, the particles velocity stats decreasing according to [16.01.5(t5.0)]m/s . This decrease continues until t=11.0s , after which the particle’s velocity remains constant at 7.0 m/s. (a) What is the acceleration of the particle as a function of time? (b) What Is the position of the particle at t=2.0s , t=7.0s , and t=12.0s ?Check your Understanding A cyclist rides 3 km west and then tune around and tides 2 kin east. (a) What Is his displacement? (b) What is the distance traveled? (c) What is the magnitude of his displacement?Problem 3 A volleyball is thrown with an initial velocity at 30 m/s at an angle 40° above the horizontal. Find the following: 1. Sketch the problem and label the important parts 2. Total time flight 3. Maximum height reached 4. Horizontal distance from the starting point will the volleyball attains its original level. (1) Given and Unknown Idgi to omis letor o bail coe
- Seatwork Time! 1. On His way to the city, Cardo Dalisay travelled a path of 100 m North, 150 m E, 25m S, 75 m E, 175 m N, 200 m E and 75 m N. What ishthe total distance? How about the total Displacement? 2. What will be the total distance and displacement of Misha Marie in meters if she travelled 5km to the right and 2km to the left?A rock thrown vertically upwardfrom the surface of the moon at a velocity of 24 m/sec (about86 km/ h) reaches a height of s = 24t - 0.8t^2 m in t sec.a. Find the rock’s velocity and acceleration at time t. (Theacceleration in this case is the acceleration of gravity on themoon.)b. How long does it take the rock to reach its highest point?c. How high does the rock go?d. How long does it take the rock to reach half its maximumheight?e. How long is the rock aloft?Dwight decides to race around the perimeter of the Scranton business parkin an effort to beat another employee’s best running time. Assuming heruns with an average velocity of 10 ft/s, and he completes 4 laps in 5minutes,a. What is the perimeter of the business park in feet?b. In meters?( 1 ft = 0.3048 m )
- 3. A particle moves along a straight line with an acceleration of a = 3s m/s?. If at s-0m, the velocity v = 2m/s. Determine v at s = V20 m. Tho drinking fountain ic dorigned cuch that nozle is located 100mm from the edge of theMy Courses Log ou 14. Jun throws a stone straight upward alongside a tree with an initial velocity of 32 ft/sec. The stone rises until it is even with the top of the tree and then falls back to the ground. How tall is the tree? A. 16 ft В. 20 ft C. 32 ft D. 64 ft 15. Which of the following statements is/are false? I. A particle moves to the right of the origin when its velocity is positive. II. A particle is not moving when its acceleration is zero. III. A particle's speed is decreasing when its velocity and acceleration have opposite directions. A. I only B. II only C. II and III D. I and III 16. A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a height of s=16ot -16t2 aftert sec. How high does the rock go? A. 350 ft В. 400 ft C. 450 ft D. 475 ft2. For a velocity vs. time plot (v vs. t): f. position (location along the meter stick) is given by: (vertical coordinate I slopc I curvature I none of these) g. instantaneous velocity is given by: (vertical coordinate I slope I curvature I none of these) h. acceleration is shown by: (vertical coordinate I slope I curvature I none of these) direction of motion (that is, sign of instantaneous velocity) is shown by: (sign of vertical coordinate I sign of slope I none of these) i. j. sign of acceleration is shown by: (sign of vertical coordinate I sign of slope I none of these)
- A motorboat travels along a circular path with the radius equal to 50m. It starts from rest and moves at a speed v = 0.8t misec, where it is ins Seconds. Determine the magnitude of the boat's n acceleration when it has traveled 20m in m/sec².lov xtonl S 20012000 920 9 bras o gvery, Ex < So rozKinematics 2: Motion in 2-Dimensions and ons 19. An object is moving in a uniform circular motion. True or False? The linear velocity of the object is constant. 25. An 20. An object is moving in a uniform circular motion. True or False? The centripetal accelerationn is equal to-g. ur re 21 An object is moving in a uniform circular motion. True or False? The direction of the centripetal acceleration is always towards the center 26 22. An object is moving in a uniform circular motion. True or False? rad/s is a unit of angular frequency.3. Calculate the displacement and velocity at times of: а. О.5 s b. 1s c. 1.50 s d. 2s for a ball thrown straight up with an initial velocity of 15 m/s. Take the point of release to be yo = 0. Assume air resistance is negligible. Use the GUFSA (Given-Unknown-Formula- Solution-Answer) method.