# Lesson Worksheet: Tangent Lines and Velocity Mathematics

In this worksheet, we will practice finding the instantaneous rate of change and instantaneous velocity for a function.

**Q1: **

Evaluate the instantaneous rate of change of at .

**Q2: **

Find the slope of the normal to the curve at the point .

- A7
- B
- C
- D
- E14

**Q3: **

Evaluate the instantaneous rate of change of at .

- A
- B
- C
- D

**Q4: **

Determine the slope of the tangent to the curve of the function when .

**Q5: **

The distance , in centimeters, is given in terms of time , in seconds, by . Find the instantaneous rate of change of distance with respect to time at .

**Q6: **

Determine the slope of the tangent to the curve at .

- A21
- B
- C3
- D12
- E

**Q7: **

Find the slope of the normal to the curve at .

- A
- B
- C
- D16

**Q8: **

Find the slope of the normal to the curve at the point .

- A
- B2
- C
- D

**Q9: **

Find the slope of the tangent to the curve at the point .

**Q10: **

Find the slope of the tangent to at the point where .