Class 12 Mathematics Chapter 5 – Kinematics of Motion in a Straight Line MCQs| FBISE | Grade 12 Math

Practice 50 exam-oriented Class 12 Mathematics Chapter 5 Kinematics of Motion in a Straight Line MCQs for FBISE HSSC-II. These questions cover distance, displacement, speed, velocity, acceleration, motion graphs, differentiation and integration with respect to time, equations of uniformly accelerated motion, and relative motion.

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1. Distance is a

A) scalar quantityB) vector quantityC) tensor quantityD) dimensionless quantity

2. Displacement is a

A) scalar quantityB) vector quantityC) constant quantityD) dimensionless quantity

3. The SI unit of displacement is

A) secondB) metre per secondC) metreD) metre per second squared

4. Speed is defined as

A) displacement per unit timeB) force per unit massC) change in velocity per unit timeD) distance per unit time

5. Velocity is the rate of change of

A) displacementB) distanceC) speedD) acceleration

6. Acceleration is the rate of change of

A) distanceB) velocityC) displacementD) time

7. The SI unit of velocity is

A) m²/sB) m/s²C) m/sD) km/s²

8. The SI unit of acceleration is

A) m/sB) s/mC) m²/sD) m/s²

9. If an object returns to its starting point, its displacement is

A) zeroB) maximumC) equal to distanceD) negative distance

10. For motion in one direction without reversal, distance and magnitude of displacement are

A) always differentB) equalC) unrelatedD) both zero

11. A body moving with constant velocity has

A) constant non-zero accelerationB) increasing accelerationC) zero accelerationD) decreasing speed

12. If velocity changes uniformly with time, acceleration is

A) zeroB) undefinedC) infiniteD) constant

13. The slope of a displacement-time graph represents

A) velocityB) accelerationC) distanceD) force

14. The slope of a velocity-time graph represents

A) displacementB) accelerationC) speedD) distance

15. The area under a velocity-time graph represents

A) accelerationB) velocityC) displacementD) jerk

16. A horizontal displacement-time graph indicates that the object is

A) moving with constant accelerationB) moving backwardC) moving with constant speedD) at rest

17. A straight line with constant positive slope on a displacement-time graph represents

A) constant positive velocityB) zero velocityC) constant accelerationD) decreasing velocity

18. A horizontal velocity-time graph above the time axis represents

A) zero acceleration and zero velocityB) constant positive velocityC) negative accelerationD) increasing velocity

19. For a body initially at rest, its initial velocity is

A) 1 m/sB) 9.8 m/sC) zeroD) infinite

20. The first equation of uniformly accelerated motion is

A) $s=vt^2$ B) $s=ut+at$ C) $v^2=u^2+at$ D) $v=u+at$

21. The equation $s=ut+\frac{1}{2}at^2$ gives

A) displacement under constant accelerationB) final velocityC) acceleration onlyD) time only

22. For constant acceleration, the equation relating velocities and displacement is

A) $v=u+at$ B) $v^2=u^2+2as$ C) $s=ut+\frac12at^2$ D) $s=vt$

23. Average velocity for constant acceleration is

A) $u+v$ B) $uv/2$ C) $\frac{u+v}{2}$ D) $v-u$

24. If a body starts from rest with acceleration $2\,m/s^2$ , its velocity after 5 s is

A) 5 m/sB) 7 m/sC) 25 m/sD) 10 m/s

25. A car has initial velocity 10 m/s and acceleration 2 m/s². Its velocity after 4 s is

A) 18 m/sB) 14 m/sC) 12 m/sD) 20 m/s

26. A body starts from rest and accelerates at $3\,m/s^2$ for 4 s. Its displacement is

A) 12 mB) 24 mC) 18 mD) 48 m

27. If $u=5\,m/s$ , $a=2\,m/s^2$ , and $t=3\,s$ , then $s$ is

A) 18 mB) 24 mC) 21 mD) 27 m

28. A body moving at 20 m/s comes to rest in 5 s. Its acceleration is

A) 4 m/s²B) -5 m/s²C) 5 m/s²D) -4 m/s²

29. When acceleration is opposite to velocity, the speed generally

A) decreasesB) increasesC) remains infiniteD) becomes displacement

30. At the highest point of vertical upward motion, instantaneous velocity is

A) maximumB) zeroC) equal to accelerationD) negative infinity

31. In free fall near Earth’s surface, neglecting air resistance, acceleration is approximately

A) zeroB) $9.8\,m/s$ upwardC) $9.8\,m/s^2$ downwardD) variable with mass

32. For an object thrown vertically upward, taking upward as positive, acceleration is

A) $+g$ B) $+2g$ C) zeroD) $-g$

33. The displacement after time $t$ for an object with initial velocity $u$ and constant acceleration $a$ is

A) $ut+\frac12at^2$ B) $ut+at^2$ C) $u+at^2$ D) $u/t+at$

34. If $s(t)$ is displacement, velocity is obtained by

A) integrating $s(t)$ B) differentiating $s(t)$ with respect to timeC) squaring $s(t)$ D) dividing by acceleration

35. If $v(t)$ is velocity, acceleration is obtained by

A) $\int v\,dt$ onlyB) $\frac{dt}{dv}$ C) $\frac{dv}{dt}$ D) $v/t$

36. If $a(t)$ is acceleration, change in velocity is obtained by

A) differentiating accelerationB) squaring accelerationC) dividing acceleration by timeD) integrating acceleration with respect to time

37. If $v(t)=3t^2+2$ , then acceleration at time $t$ is

A) $6t$ B) $3t$ C) $6t+2$ D) $3t^2$

38. If $s(t)=t^3-2t$ , then velocity is

A) $t^2-2$ B) $3t^2-2$ C) $3t-2$ D) $t^3-2$

39. If $s(t)=2t^3+5t^2$ , then acceleration is

A) $6t+10$ B) $6t^2+10t$ C) $12t+10$ D) $2t+5$

40. If velocity is $v=4t+3$ , displacement from $t=0$ to $t=2$ is

A) 10 mB) 12 mC) 16 mD) 14 m

41. The displacement-time graph of uniformly accelerated motion is generally

A) a parabolaB) a straight lineC) a circleD) a horizontal line

42. The velocity-time graph for constant acceleration is

A) a parabolaB) a straight lineC) a circleD) a hyperbola

43. The area under a velocity-time graph from $t_1$ to $t_2$ gives

A) accelerationB) average speed onlyC) change in displacementD) force

44. A negative slope on a velocity-time graph indicates

A) positive accelerationB) constant displacementC) zero accelerationD) negative acceleration

45. If the velocity-time graph crosses the time axis, the velocity

A) changes signB) remains positiveC) becomes infiniteD) must remain zero

46. Relative velocity of A with respect to B is

A) $\vec v_A+\vec v_B$ B) $\vec v_A-\vec v_B$ C) $\vec v_B-\vec v_A$ alwaysD) $\vec v_A\vec v_B$

47. If two cars move in the same direction with speeds 60 km/h and 40 km/h, the relative speed of the first with respect to the second is

A) 60 km/hB) 40 km/hC) 20 km/hD) 100 km/h

48. If two objects move toward each other at 30 m/s and 20 m/s, their relative speed is

A) 10 m/sB) 20 m/sC) 30 m/sD) 50 m/s

49. For a particle with position $x(t)=5t$ , its velocity is

A) 5 m/sB) 0C) 10 m/sD) 25 m/s

50. For $x(t)=t^2$ , velocity at $t=3$ s is

A) 3 m/sB) 6 m/sC) 9 m/sD) 12 m/s

Explore More Class 12 Mathematics MCQs

Chapter 1 – Functions and Graphs
Chapter 2 – Limit, Continuity and Derivative
Chapter 3 – Integration
Chapter 4 – Differential Equations
Chapter 5 – Kinematics of Motion in a Straight Line
Chapter 6 – Analytical Geometry
Chapter 7 – Conic Section
Chapter 8 – Inverse Trigonometric Functions and Their Graphs
Chapter 9 – Solution of Trigonometric Equations
Chapter 10 – Numerical Methods

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This set covers the Class 12 Mathematics Kinematics of Motion in a Straight Line content represented in the uploaded chapter file, including distance, displacement, speed, velocity, acceleration, motion graphs, differentiation and integration with respect to time, uniformly accelerated motion, and relative motion.

Class 12 Mathematics Chapter 5 – Kinematics of Motion in a Straight Line MCQs| FBISE | Grade 12 Math

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