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he time dependent position s of along a straight line path is given by S=pt + qt, where p and q are constants. the body is moving with:

Question

The time dependent position s s of a body along a straight line path is given by s=pt+qt s = pt + qt , where p p and q q are constants. The body is moving with:

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Solution

The given equation is S = pt + qt. This equation represents the position of a body as a function of time.

Step 1: Identify the type of motion The equation is a linear function of time, which suggests that the motion is uniform or constant.

Step 2: Determine the velocity The velocity of the body can be found by taking the derivative of the position function with respect to time.

So, v = ds/dt = d(pt + qt)/dt = p + q.

Step 3: Interpret the result Since the velocity is a constant (p + q), this means the body is moving with a constant velocity.

So, the body is moving with a constant velocity.

This problem has been solved

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