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bekas [8.4K]
3 years ago
5

An object, which is initially at rest, accelerates at a rate of 10 m/s2 . Its final position is 85 m from its initial position a

t the end of that acceleration. For how much time did it accelerate?
Physics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

4.12 seconds

Explanation:

From the kinetic equation

s=ut+0.5at^{2} where s is the displacement, u is initial velocity, t is time of travel and a is acceleration.

Since the object is initially at rest, the initial velocity is zero hence the equation can be re-written as

s=0.5at^{2} and making t the subject of the formula

t=\sqrt {\frac {2s}{a}}

Substituting s for 85 m and a for 10 m/s2

t=\sqrt {\frac {2*85 m}{10}}=4.123105626 s

Therefore, time is approximately 4.12 seconds

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