A 50.0-g Super Ball traveling at 25.5 m/s bounces off a brick wall and rebounds at 21.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 4.45 ms, what is the magnitude of the average acceleration of the ball during this time interval

Respuesta :

Answer:

The magnitude of the average acceleration of the ball during this time interval is 10,449.44 m/s²

Explanation:

Given;

mass of super ball, m = 50 g

initial velocity of the ball, u = 25.5 m/s

final velocity of the ball, v = -21 m/s (re-bouncing backward)

time in contact with the wall, t = 4.45 ms = 0.00445 s

The average acceleration of the ball during this time interval is given by

[tex]a = \frac{dv}{dt} = \frac{v-u}{t} \\\\a = \frac{-21-25.5}{0.00445}\\\\a = -10449.44 \ m/s^2\\\\|a| = 10,449.44 \ m/s^2[/tex]

Therefore, the magnitude of the average acceleration of the ball during this time interval is 10,449.44 m/s²