#### To determine

**To write:** an expression for instantaneous velocity and interpret by graph.

#### Answer

an expression for instantaneous velocity =

limt→aft-f(a)t-a

#### Explanation

An expression for instantaneous velocity of object at time t = a is given by,

Instantaneous velocity =

limt→aft-f(a)t-a

The slope of the tangent to the position curve is known the instantaneous velocity.

It is illustrated by following graph,

**Conclusion: **an expression for instantaneous velocity =

limt→aft-f(a)t-a