A player kicks a soccer ball resting on the ground. The height of the ball, h(t), in feet, after t seconds can be represented by the function h(t) =−16t^2+96t. Use this information to answer the two questions that follow: Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again? seconds

Part B: When will the ball reach its maximum height? After seconds.

The correct answer is:

Part A: 6 Seconds

Part B: 3 Seconds

Step-by-step explanation:

The given equation is:

⇒  

Part A:

When h(t) = 0,

⇒

On taking "t" as common, we get

⇒

⇒

On adding "16t" both sides, we get

⇒

⇒                      

⇒                        

⇒                        

Part B:

When

⇒

⇒          

On adding "32t" both sides, we get

⇒        

⇒                      

⇒                        

⇒                        

25

step-by-step explanation: