Q:

1. A ball is dropped from a height of 225 feet. The ball’s height y (in feet) after t seconds can be modeled by y = 225-16t2 . After how many seconds does the ball hit the ground?

Accepted Solution

A:
we have that
y = 225-16t²

we know that
the ball hit the ground when y=0
the point when y=0 is the x intercept of the graph
so
find the value of t for y=0
y=0
y = 225-16t²------> 0=225-16t²
16t²=225-------> t²=225/16----------> t=√(225/16) -----> t=15/4 sec
t=3.75 sec

the answer is
t=3.75 sec

see the attached figure