1. Sec 3.7: Rates of Change in the Natural and Social Sciences
Syllabus: Example 1 only
instantaneous rate of change of S with respect to t
S = distance in meter t = time in seconds
instantaneous velocity
instantaneous acceleration

2. Sec 3.7: Rates of Change in the Natural and Social Sciences
(a) Find the velocity at time t
(b) What is the velocity after 2 s? After 4 s ?
(c) When the particle at rest?

3. Sec 3.7: Rates of Change in the Natural and Social Sciences
(d) When is the particle moving forward ( that is , in the positive direction )
(e) Draw a diagram to represent the motion of the particle

4. Sec 3.7: Rates of Change in the Natural and Social Sciences
(f) Find the total distance traveled by the particle during the first five seconds
(g) Find the acceleration at time t and after 4 s.

5. Sec 3.7: Rates of Change in the Natural and Social Sciences
(h) Graph the position, velocity, and acceleration functions for 0<t<5

6. Sec 3.7: Rates of Change in the Natural and Social Sciences
(i) When is the particle speeding up? When is it slowing down?
speed up?
v & a have same sign
slow down?
v & a have opposite sign

7. Sec 3.7: Rates of Change in the Natural and Social Sciences

8. TERM-093 Exam-2

9. TERM-081 Exam-2

10. TERM-083 Exam-2