A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) = 16 t + 48 t + 111. What is the meaning of h (2)?
A) After 2 seconds the height of the ball is 175 feet above ground.
B) After 2 seconds the height of the ball is 143 feet above ground.
C) After 2 seconds the height of the ball is 111 feet above ground.
D) After 2 seconds the height of the ball is 32 feet above ground.
E) After 2 seconds the height of the ball is 817 feet above ground.

Question

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) =  16 t  + 48 t + 111. What is the meaning of h (2)?
A) After 2 seconds the height of the ball is 175 feet above ground. 
B) After 2 seconds the height of the ball is 143 feet above ground. 
C) After 2 seconds the height of the ball is 111 feet above ground. 
D) After 2 seconds the height of the ball is 32 feet above ground. 
E) After 2 seconds the height of the ball is 817 feet above ground.

Quizplus · Accepted Answer

To find the meaning of h(2), we substitute 2 for t in the given function for h(t).
h(2) = 11e^(16(2)) + 48(2) + 111
h(2) = 11e^32 + 96 + 111
h(2) ≈ 143
Therefore, after 2 seconds the height of the ball is approximately 143 feet above ground. The best choice is B.

A Ball Is Thrown Straight Upward from a Bridge and Then