Question

Bob drops a ball from a height of 400 feet. The height of the ball is given by

the function h(t) = -16t² + h, where t is the time in seconds. How long will it
take for the ball to hit the ground?

Answer 1

Answer: in 5 seconds it will take the ball to the ground.

Explanation:

h=400 foot h(t)=-16t²+h

Height a ball will take for to hit the ground is 0 feet.

Hence,

-16t²+h=0

400=16t²

16*25=16*t² |:16

25=t².

t²=5²

t=5 с.

Good luck an' have a nice day!