Question

David threw a baseball into the air. The function of the height of the baseball in feet is

h = 80t − 16t^2

, where t represents the time in seconds after the ball was thrown. The graph

of the function is below.


a. Use the graph to determine how long it took for the ball to

fall back to the ground.


b. What is the maximum height of the baseball?

Answer 1

a). 5 seconds

b). 120 feet

Explanation:

Function representing the relation between the height achieved by a baseball and time 't' is,

h = 80t - 16t²

a). Total time taken by the ball to come back to the ground = 2 × Time taken by the baseball to reach the maximum height

= 2×(2.5) [From the graph attached]

= 5 seconds

b). Maximum height achieved by the baseball = 120 feet