Basic Introduction of Differentiation and Integration Algebraic Functions

Differentiation & Integration Physics Worksheet (20 MCQs)

Q1. If s=t^2+3t, velocity?

2t+3
t+3
2t
t^2

Q2. If v=4t^2, acceleration?

8t
4t
2t
8

Q3. Slope of y=5x-2

5
2
-2
x

Q4. ∫_0^2 x dx

2
4
1
0

Q5. Area under y=3 from 0 to4

12
7
3
4

Q6. Derivative of constant 9

0
1
9
x

Q7. ∫5 dx

5x+C
C
x+C
5+C

Q8. If s=10t, velocity

10
t
0
20

Q9. Acceleration is derivative of

velocity
displacement
force
mass

Q10. Displacement is integral of

velocity
acceleration
mass
force

Q11. Impulse equals area under

Force-time
Velocity-time
Distance-time
Mass-time

Q12. Work equals area under

Force-distance
Velocity-time
Current-time
Power-time

Q13. Charge equals integral of

current
voltage
power
resistance

Q14. d(x^3)/dx

3x^2
x^2
3x
x3

Q15. ∫2x dx

x^2+C
2x^2
x+C
2+C

Q16. Slope of tangent is

derivative
integral
area
limit only

Q17. ∫_1^3 2 dx

4
6
2
3

Q18. Velocity-time area gives

displacement
acceleration
speed
force

Q19. If v=t+1, displacement

t^2/2+t+C
t+1
2t
1

Q20. Derivative represents

rate of change
area
volume
constant

Answer Key

1. Q1: A — 2t+3
2. Q2: A — 8t
3. Q3: A — 5
4. Q4: A — 2
5. Q5: A — 12
6. Q6: A — 0
7. Q7: A — 5x+C
8. Q8: A — 10
9. Q9: A — velocity
10. Q10: A — velocity
11. Q11: A — Force-time
12. Q12: A — Force-distance
13. Q13: A — current
14. Q14: A — 3x^2
15. Q15: A — x^2+C
16. Q16: A — derivative
17. Q17: A — 4
18. Q18: A — displacement
19. Q19: A — t^2/2+t+C
20. Q20: A — rate of change