4 years ago

Please help and answer

Mathematics

1 answer:

Anni [7]4 years ago

8 0

Answer:

Step-by-step explanation:

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You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can be represented b

AnnyKZ [126]

Answer:

$1.5\; \rm s$ .

Step-by-step explanation:

The person in this question is in the air whenever the height is greater than $0$ .

The graph of $y = -16\, t^{2} + 24\, t$ is a parabola opening downwards. Rearrange and find values of $t$ that would set this expression to $0$ .

$\begin{aligned}y &= -16\, t^2 + 24\, t \\ &= t\, (-16\, t + 24) = -8\, t\, (2\, t - 3)\end{aligned}$ .

The first factor, $t$ , suggests that $t = 0$ would set this expression to $0$ - quite expected, since the person is on the ground right before jumping.

The second factor, $(2\, t - 3)$ , suggests that $2\, t = 3$ (in other words, $t = 3/2 = 1.5$ ) would also set this expression to $0$ . Hence, this person would be once again on the ground $1.5$ seconds after jumping.