8. an object accelerates at a rate of -3.2 m/s2 to a velocity of 5 m/s over a time of 10 s. what was its initial velocity

Here, we are required to determine the initial velocity of the object.

The initial velocity of the object is; u = 37m/s

By definition, the acceleration of an object the rate of change of its velocity with time.

Mathematically, this can be written as;

a = (v -u)/t

This also forms the basis for the kinematic equation as follows;

v = u + at

Therefore,

The initial velocity of the object is, u = 37m/s

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Given, a = -3.2m/s²

v = 5m/s

t = 10s

u = ?

Using kinematic equation,

v = u + at

5 = u -3.2* 10

5 = u - 32

u = 32 + 5

u = 37 m/s

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