Question

Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 48t. Determine the time the ball traveled. t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds

Answer 1

Answer:

t = 3 seconds

Step-by-step explanation:

I took the test and i got it right.

Answer 2

The time the given ball traveled for is required.

The time the ball traveled was t = 3 seconds

Equation of motion

The given equation is $H(t)=-16t^2+48t$

The ball never leaves the ground so the height of the ball is 0.

$0=-16t^2+48t$

Solving the equation we get

$-48t=-16t^2$

Dividing the equation by $t$ on both sides

$\Rightarrow 48=16t$

Dividing the equation by 16 on both sides

$\Rightarrow t=\dfrac{48}{16}\\\Rightarrow t=3\ \text{s}$

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