The velocity of an object varies as `v=h(t^(2))/(4)`. Calculate the change in position of the ball is time t.

Explanation

To solve the problem of calculating the change in position of an object when its velocity varies as \( v = \frac{h t^2}{4} \), we can follow these steps:

### Step 1: Understand the relationship between velocity and position
Velocity is defined as the rate of change of position with respect to time. Mathematically, this is expressed as:
\[ v = \frac{dx}{dt} \]
where \( dx \) is the change in position and \( dt \) is the change in time.
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