Question

A ball is dropped from the top of a building that is 250 feet tall. The height h of the ball in feet after t seconds is modeled by the function h=-16t^2+250. Round to the nearest tenth if necessary. A. How long will it take for the ball to reach the ground? Show your work

Answer 1

Answer:

The ball reach the ground at t=4 sec

Step-by-step explanation:

Let

h-----> the height of the ball

t-----> the time in seconds

we have

$h=-16t^{2} +250$

we know that

When the ball reach the ground h=0 (x-intercept of the function)

so

For h=0 ind the value of t

$0=-16t^{2} +250$

$16t^{2}=250$

$t^{2}=15.625$

$t=(+/-)4$

The solution is t=4 seconds  ( the value of t can not be negative)