Answer:
The ball will hit the ground in 2 seconds
Step-by-step explanation:
The formula for throwing a baseball in the air is represented by :
h = -16t² + 12t + 40
where h is the height of the ball and t is the time in seconds
Now we need to find after how many seconds will the ball hit the ground
When the ball hits the ground the height of the ball is 0
⇒ -16t² + 12t + 40 = 0
⇒ 4t - 3t - 10 = 0
⇒ 4t² - 8t + 5t - 10 = 0
⇒ 4t(t - 2) + 5(t - 2) = 0
⇒ t cannot be negative so t = 2
Hence, The ball will hit the ground in 2 seconds
