Question

on 27
Enrique is hitting a golf ball. He swings his golf club and hits the ball so that it has
an initial vertical speed of 16 meters per second. The height of the golf ball is
modeled by the function h(t) = -4.912 + 161.
For about how many seconds is the ball in the air?
A
approximately 1.63 seconds
B
approximately 3.27 seconds
С
approximately 13.06 seconds
D
approximately 78 seconds

Answer 1

The ball spent approximately 1.63 seconds in the air

Maximum height of an object

Given the height of the golf ball expressed according to the equation;

• h(t) = -4.9t^2 + 16t

The velocity expression is given as:

• v(t) = -9.8t + 16

If the initial vertical speed of 16 meters per second, hence, at the maximum height, v(t) = 0

-9.8t + 16 = 0

9.8t =  16

t = 16/9.8

t = 1.63 secs

Hence the ball spent approximately 1.63 seconds in th air

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