Velocity & Acceleration Problems

S432 PhysicsName_________________________VELOCITY AND ACCELERATIONSolve all of the problems below. Make sure you show your givens, the equation you are using, yourwork, and an answer with correct units.1. A toy car crosses a 15 meter floor in 2seconds. What is it’s velocity?d= 15 m t = 2 sec v =?v = d/t = 15 m/2 secv = 7.5 m/s2. The same car crosses a 24 meter floor, howlong will it take?d = 24 m v= 7.5 m/s t = ?t = d/v = 24 m/ 7.5 m/st = 3.2 sec3. The batteries in this toy car run out and itcomes to a stop in 3 seconds, what is this(negative) acceleration?t = 3 sec vi = 7.5 m/s vf = 0 m/s a=?a = (vf – vi)/ t = (0 m/s – 7.5 m/s )/ 3 seca = -2.5 m/s/s4. A sports car can accelerate at a rate of 2.5m/s/s. How long will it take to reach aspeed of 50 m/s?a = 2.5 m/s/s vi = 0 m/s vf = 50 m/s t = ?a = (vf – vi)/ tt = (vf – vi)/ a = (50 m/s – 0 m/s) / 2.5 m/s/st = 20 sec5. A train begins traveling at 5 m/s. Fortyfiveseconds later, the train is moving at 70m/s. What was the acceleration of the trainduring this time?vi = 5 m/s t = 45 sec vf = 70 m/s a = ?a = (vf – vi)/ t = (70 m/s – 5 m/s )/ 45 seca = 1.44 m/s/s6. When dropped, most objects accelerate at10 m/s/s. If an acorn falls from an oak treeand takes 1.3 seconds to hit the ground,how fast will it be going just before itstrikes?a = -10 m/s/s t = 1.3 s vi = 0 m/s vf= ?vf = vi + at = 0 m/s + (-10m/s/s * 1.3 sec)vf = -13 m/s