Bowling Ball Problem

Question

A bowling ball is dropped from a height of 30 feet.

a. h(t)=

b. The height of the ball after 1 second is ? feet.

c. The bowling ball takes about ? seconds to hit the ground.

Write a function that gives the height h of the bowling ball after t secs. Find height of the bowling ball after 1 second. How long does the bowling ball take to hit ground? Round your answer to hundredth.

Answer 1

h(t) = -16t^2 + 30

h(1) = -16(1)^2 + 30 = 14 feet high after one second

h(t) = 0 = -16t^2 ++ 30

16t^2 = 30

t^2 = 30/16

t = (1/4)sqr30 = 1.369 seconds to hit the ground