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- Suppose a rock is launched from the ground straight upward (use up as the positive direction) and reaches its maximum height in a time of 3.0 s. Then the rock descends back to the ground. (To simplify your numbers, you may use |g| = 10 m/s².) Find the following: a. The maximum height reached above the ground. b. The velocity of the rock at the time t = 4.5 s.Also C. At 2.5 ss , what is the particle's acceleration? Express your answer with the appropriate units.For each graph of vx vs. t in the left column, choose the letter (a-i) corresponding to the appropriate description of motion. Not all descriptions will be used. Assume the usual coordinate system (+x to the right, +y up, +z out of the page). a. A cart moves to the right, gradually slowing down. qv Ux by hv Uxi X Ux Ux Ux dv Ux Additional Materials eBook b. A cart moves to the right, gradually slowing down, stops, and moves to the left, speeding up. c. A cart moves to the left at constant speed. d. A cart moves to the right, gradually speeding up. e. A cart remains stationary and does not move. f. A cart moves to the right at constant speed. g. A cart moves to the left, gradually slowing down. h. A cart moves to the left, gradually slowing down, stops, and moves to the right, speeding up. i. A cart moves to the left, gradually speeding up.
- From the origin and from 4 m/s, an object is accelerated to 10 m/s for 2 seconds. a. Find its final position and its displacement.Driving down the road at a speed of 23.9 m/s, you suddenly notice a fallen tree blocking the road a distance of 82.0 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 6.6 m in front of the tree? a. 3.79 m/s^2 b. 3.48 m/s^2 c. 3.22 m/s^2 d. 7.58 m/s^2The Beretta Model 92S (the standard-issue U.S. army pistol) has a barrel 127 mmmm long. The bullets leave this barrel with a muzzle velocity of 349 m/sm/s. 1) What is the acceleration of the bullet while it is in the barrel, assuming it to be constant? Express your answer in meters per second squared. 2) What is the acceleration of the bullet while it is in the barrel, assuming it to be constant? Express your answer as a multiple of acceleration due to gravity g. 3) For how long is the bullet in the barrel? Express your answer in seconds.
- 2. V A particle moves according to the equation ¤ = 10t², where is in meters and t is in seconds. (a) Find the average velocity for the time interval from 2.00 s to 3.00 s. (b) Find the average velocity for the time interval from 2.00 to 2.10 s.Given a particle that moves according to r(t) = (t2, t+,t-) t3 write the acceleration aa of the particle in the form a = aTT+aNN. at t = 0+ Select one: a. a(0) = 2T -N b. a(0) = 2N C. a(0) = 2T d. a(0) = T+N e. a(0) = NK A toy rocket is launched from the top of a building 144 feet tall at an initial velocity of 231 feet per second. a) Give the function that describes the height of the rocket in terms of time t. b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet. c) For what time interval will the rocket be more than 517 feet above ground level? d) After how many seconds will it hit the ground?