PLS HELP!! WILL MARK BRAINLIEST. A rock is dropped from a height of 32 m. How many seconds it takes for the flare to hit the gro

Question

PLS HELP!! WILL MARK BRAINLIEST.

A rock is dropped from a height of 32 m. How many seconds it takes for the flare to hit the ground? Use the formula below where h0 is the initial height. Approximately how long will is take the object to hit the ground?

h(t)=−16t2+h0

Question 3 options:

0.8 sec

1.4 sec

2.3 sec

5.1 sec

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Sophia 2 weeks 2021-09-12T04:43:52+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T04:45:32+00:00

    t = 1.4 sec.

    This is an example of freefall, here the height is given as function of time and we want to know how long take to the rock from a height of 32m reach the ground.

    With h₀ = 32 m, and set h(t) = 0 due the height when the rock hit the ground is 0.

    h(t) = -16t² + 32 = 0

    Solving:

    -16t² + 32 = 0

    32 = 16t²

    Clear the equation for t:

    t = ±√32/16

    t = ±1.414s

    Take the positivie value since time can’t be negative:

    t = 1.414s ≅ 1.4s

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