1. The graph below shows the position versus time of a steel ball, starting from rest at t = 0 seconds, that is dropped straight down from an initial height of 3.00-m. The ball is allowed to bounce three times before it is caught again. In this problem, we will ignore air resistance. 3.00m Iy(m) 3.00m Iv(t) 3.00m a(t) t(s) t(s) t(s) 4 a. Make a rough sketch of the ball's velocity versus time and its acceleration versus time. b. What is the ball's exact instantaneous velocity at time t = 0.400-s? y = yo+ Vot + 1/2 at ² 0 = 3 + Vo(0 400) + 1/2 4 Y - Yo = (Vo+V) t 0-3 - 3 = (0+✓ ) + (알)+ 2 -6 = v(0.400) V=-15 m/s

1. The graph below shows the position versus time of a steel ball, starting from rest at t = 0 seconds, that is dropped straight down from an initial height of 3.00-m. The ball is allowed to bounce three times before it is caught again. In this problem, we will ignore air resistance. 3.00m Iy(m) 3.00m Iv(t) 3.00m a(t) t(s) t(s) t(s) 4 a. Make a rough sketch of the ball's velocity versus time and its acceleration versus time. b. What is the ball's exact instantaneous velocity at time t = 0.400-s? y = yo+ Vot + 1/2 at ² 0 = 3 + Vo(0 400) + 1/2 4 Y - Yo = (Vo+V) t 0-3 - 3 = (0+✓ ) + (알)+ 2 -6 = v(0.400) V=-15 m/s