while on vacation in hawaii, ellie and her friends go to a coconut farm to harvest fresh coconuts. ellie…

while on vacation in hawaii, ellie and her friends go to a coconut farm to harvest fresh coconuts. ellie uses a pole pruner to release a bunch of coconuts from a canopy 24 meters above the ground. then, ellies friends catch the coconuts with a net situated 1.5 meters above the ground. to the nearest tenth of a second, how long does it take for the coconuts to land in the net? hint: use the formula h = -4.9t² + s.

while on vacation in hawaii, ellie and her friends go to a coconut farm to harvest fresh coconuts. ellie uses a pole pruner to release a bunch of coconuts from a canopy 24 meters above the ground. then, ellies friends catch the coconuts with a net situated 1.5 meters above the ground. to the nearest tenth of a second, how long does it take for the coconuts to land in the net? hint: use the formula h = -4.9t² + s.

Answer

Explanation:

Step1: Identify values for h and s

The initial height $s = 24$ meters and the final height $h=1.5$ meters.

Step2: Substitute values into formula

Substitute $h = 1.5$ and $s = 24$ into $h=-4.9t^{2}+s$. We get $1.5=-4.9t^{2}+24$.

Step3: Rearrange the equation

First, move the terms to solve for $t^{2}$. $4.9t^{2}=24 - 1.5$. $4.9t^{2}=22.5$.

Step4: Solve for $t^{2}$

$t^{2}=\frac{22.5}{4.9}\approx4.592$.

Step5: Solve for t

$t=\sqrt{4.592}\approx2.143$. Rounding to the nearest tenth, $t\approx2.1$.

Answer:

$2.1$