A ball is thrown a

Question

A ball is thrown up at a velocity 10 m/s from the top of tower,495 m high . Find the 

A velocity 

b time taken to reach the ground

 

Answer 1

s(t) = 495 + 10t - 4.9t² where s(t) is the distance traveled at time t

 

s'(t) = v(t) = velocity at time t is 10 - 9.8t

 

The ball will hit the ground when s(t) = 0

The quadratic formula will give an extraneous root and t = 11.12

Remember the quadratic formula assumes that the coefficient of the squared term is positive!

Note: I used 9.8 m/sec² as the acceleration due to gravity.