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 = − 16 t 2 + 250 h = 1612 + 250. Round to the nearest tenth if necessary. a. How long will it take for the ball to reach the ground? Show your work. b. How long will it take for the ball to reach a height of 75 feet? Show your work.
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 = − 16 t 2 + 250 h = 1612 + 250. Round to the nearest tenth if necessary. a. How long will it take for the ball to reach the ground? Show your work. b. How long will it take for the ball to reach a height of 75 feet? Show your work.
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
=
−
16
t
2
+
250
h = 1612 + 250. Round to the nearest tenth if necessary.
a. How long will it take for the ball to reach the ground? Show your work.
b. How long will it take for the ball to reach a height of 75 feet? Show your work.
a.
Expert Solution
To determine
To calculate: The time taken the ball to reach the ground.
Answer to Problem 8STP
The time taken the ball to reach the ground =3.95 sec .
Explanation of Solution
Given information: 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 modelled by the function h=−16t2+250 .
Calculation:
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 modelled by the function h=−16t2+250 .
The time taken the ball to reach the ground when h=0 .
0=−16t2+250t2=25016t=3.95 sec
b.
Expert Solution
To determine
To calculate: The time taken the ball to reach a height of 75 feet
=3.3 sec .
Answer to Problem 8STP
The time taken the ball to reach the ground =3.95 sec .
Explanation of Solution
Given information: 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 modelled by the function h=−16t2+250 .
Calculation:
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 modelled by the function h=−16t2+250 .
The time taken the ball to reach the ground when h=75 .
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