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##### Q.01

**Solution:**

We shall find the instantaneous velocity when

From the graph, we see that

at

at

Instantaneous velocity at is equal to the slope of the tangent line at

##### Q.02

**Solution:**

From the graph, we see that

at

at

Instantaneous velocity at is equal to the slope of the tangent line at

at

at

Instantaneous velocity at is equal to the slope of the tangent line at

From the graph we have

at

at

Instantaneous velocity at is equal to the slope of the tangent line at

##### Q.03 The accompanying figure shows the position versus time curve… (a) The average velocity over the interval (b) The values of at which the instantaneous velocity is zero.

**Solution:**

From the graph, we have

at

at

(b)

**The values of at which the instantaneous velocity is zero.**

We know that the points where the tangent line is horizontal are the points at which the slope of the tangent line is zero. ie the points where the instantaneous velocity is zero.

From the graph, we have that

the instantaneous velocity is zero( the tangent lines are horizontal at these points).

The values of at which the instantaneous velocity is either maximum or minimum. From the graph we have at , the slope is positive and the instantaneous velocity is maximum. At , the slope is negative and the instantaneous velocity is minimum.

At

##### Q.04 The accompanying figure shows the position version time curve…

**Solution:**

the instantaneous velocity is increasing because the slope of the tangent line is increasing with time.

Since the slope of the tangent line increases with time the instantaneous velocity increases.

Since the slope of the tangent line decreases with increasing time, therefore the instantaneous velocity is decreasing.