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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

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

answer: the answer is 23

step-by-step explanation:

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: