Processing math: 100%
 
+0  
 
0
343
2
avatar

At time t=0, a ball is thrown downward at 24 feet per second from a height of 180 feet above the ground. The equation $h = -16t^2 - 24t +180$ describes the height (in feet) of the ball. In how many seconds will the ball hit the ground? Express your answer as a decimal.

 Feb 6, 2022
 #1
avatar
0

The answer is t = 3.6.

 Feb 6, 2022
 #2
avatar+37167 
+1

When the ball hits the ground  ,  h = 0

 

=  -16t^2 - 24 t + 180

 

Use Quadratic Formula with  a = -16    b  = -24    c = 180

t=(24)±(24)24(16)(180)2(16)

 

 

to calculate 't'    (Hint: it is NOT 3.6 sec )   ==== throw out the negative 't' value

 Feb 7, 2022

0 Online Users