A 49-kg lead ball is dropped from the leaning tower of Pisa. The tower is 54 m high.

(a) How far does the ball fall in the first 2.4 seconds of flight?

(b) What is the speed of the ball after it has traveled 4.1 m downward?

(c) What is the speed of the ball 1.7 s after it is released?

1 answer

Galileo says:
Who cares what the mass is ?

How far does anything fall in 2.4 s if dropped on a planet where g = 9.81 m/s^2 ??

d = (1/2) a t^2
d = (1/2)(9.81) (2.4)^2

(b) d = 4.1
4.1 = (1/2) (9.81)(t^2)
solve for t
v = Vi + a t
v = 0 + 9.81 t

(c) v = 0 + 9.81 t = 9.81 (1.7)

Now surely this is in your text ?