The leaning tower of Pisa is about 56 meters tall. A ball released from the top takes 3.4 seconds to reach the ground. The final velocity of the ball before it hits the ground is 33 meters/second. Assuming that the ball experienced a constant acceleration throughout this descent, calculate the magnitude of the acceleration
The acceleration of the ball would be around 9.1666667m/s
To work this out use this formula
acceleration = distancevelocity/distancetime
Answer:The magnitude of the acceleration is \(9.70 m/s^2\)
Explanation:
Final velocity of the ball falling down ,v = 33 m/s
Initial velocity of the ball ,u= o m/s
Time taken by the ball to reach the ground ,t = 3.4 seconds
Acceleration of the ball during the fall = a
Using first equation of motion:
\(v=u+at\)
\(33 m/s=0 m/s+a(3.4 s)\)
\(a=\frac{33 m/s}{3.4 s}=9.70 m/s^2\)
The magnitude of the acceleration is \(9.70 m/s^2\)