If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t^2 + 120t. How long will it take the rocket to return to the ground? Group of answer choices

Step-by-step explanation:

Given

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

becomes

Solve for t in the above equation

Factorize the above expression

Split the expression to 2

Solving the first expression

Divide both sides by -4

Solving the second expression

Add 30 to both sides

Divide both sides by 4

Hence, the values of t are:

and

shows the time before the launching the rocket

while

shows the time after the rocket returns to the floor

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step-by-step explanation: