(a) An object moving with constant acceleration changes its speed from 20 m/s to 60 m/s in 2.0 s. What is the acceleration? (b) How far did it move in this time? An object moving with constant acceleration along a horizontal path covers the distance between two points 60 m apart in 6.0 s. Its speed as it passes the second point is 15 m/s. Find (a) the speed at the first point, (b) its acceleration and (c) the distance from the point where the object was at rest to the first point.

A soccer ball starts from rest and accelerates with an acceleration of 0.385 m/s2 while moving down a 8.50 m long inclined plane. When it reaches the bottom, the ball rolls up another plane, where, after moving 14.75 m, it comes to rest. (a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to at least two decimal places.) m/s (b) How long does it take to roll down the first plane (in s)? (c) What is the magnitude of the acceleration along the second plane (in m/s?)? m/s2 (d) What is the ball's speed 8.20 m along the second plane (in m/s)? m/s (e) What If? You change the angles of the two inclines in such a manner that the new acceleration down the first incline is a, new down = 2a initiel down and up the second incline is a, new un x initial up, What is the ball's speed 8.20 m up the second plane (in m/s)? 2 m/s

A car traveling in a straight line with an initial velocity of 10 m/s undergoes a constant acceleration of 2.0 m/s squared for a time of 3 seconds. What distance does the car travel in this time?

(1) 1.24 1.0+ 0.84 0.6+ 0.4+ 0.2+ 0 0.2 0.4 0.6 0.8 1.0 (A) B A particle moves along the x-axis so that its acceleration a (t) is given by the graph above for all values of t where 0 ≤ t ≤ 1. At time t = 0, the velocity of the particle is. Which of the following statements must be true? D BAM! (E The particle passes through x = 0 for some t between t = 0 and t = 1. The velocity of the particle is 0 for some t between t = 0 and t = 1. The velocity of the particle is negative for all values of t between t = 0 and t = 1. The velocity of the particle is positive for all values of t between t = 0 and t = 1. *** The velocity of the particle is less than for all values of tbetween t = 0 and t = 1. R

You are to drive to an interview in another town, at a distance of 300km. You leave for the interview 3 ¼ hours before it is scheduled, planning to drive at 100 km/hr. You drive at that speed for the first 100 km. Then, construction work on the road causes you to drive at 40 km/hr for 60 km. At what constant speed must you drive the rest of the way to get to the interview on time.

Compute your average velocity in the following two cases: (a) You walk 64.0 m at a speed of 1.28 m/s and then run 64.0 m at a speed of 3.98 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.28 m/s and then run for 1.39 min at 3.98 m/s along a straight track.

Part (a)  What is the velocity, in meters per second, of the particle at the time t1 = 3.0 s?  v(t) = ______ m/s Part (b)  What is the velocity, in meters per second, of the particle when it is at the origin (x = 0) at time t0 > 0? v(t0) = ______ m/s