Question

Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the ground
Use the formula h = rt − 16t2 where h represents height in feet and r represents the initial speed.
Numerical Answers Expected!
Answer for Blank 1:

Answer 1

Answer:

2 seconds

Step-by-step explanation:

Given : Heather hits a tennis ball upward with an initial speed of 32 feet per second.

To Find: After how many seconds does the ball hit the ground

Solution:

Formula : $h = rt -16t^2$

Where h is the height

r is the initial speed

So, initial speed = r = 32 feet per second

Now we are supposed to find After how many seconds does the ball hit the ground i.e. h =0

Substitute h=0 in the formula

$0 = 32t -16t^2$

$16t^2 = 32t$

$16t = 32$

$t = \frac{32}{16}$

$t = 2$

Thus after 2 seconds the ball will hit the ground.

Answer 2

set h=0 and solve for t

So: 0 = 32t - 16^2

32t−16t2=016t(2−t)=0t=2