About Motion and Force in FSC Physics
Motion and Force is one of the 14 main chapters in our Federal Board FSC Physics question bank (11th and 12th class), and about 6% of its real questions come from it. Tayyari Karo has 30 real questions on this chapter from 2023 to 2026; 12 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 21 medium, 7 easy, 2 hard.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
Try 8 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
2026 Annual · 11th · Motion and Force
Which of the following equations is dimensionally correct?
- v_f = v_i + at
- v_f² = v_i² + 2at
- s = v_it + (1/2)at
- F = ma²
Show answer and explanation
Answer: A. v_f = v_i + at
v_f=v_i+at is dimensionally consistent (all terms are velocity). In B, 2at has units of velocity not velocity² (should be 2as); in C, the missing power on t makes the second term have the wrong dimension (should be at²); in D, ma² has units of force×acceleration, not force.
2026 Annual · 11th · Motion and Force
Time of flight of a projectile depends on:
- Horizontal velocity
- Mass
- Vertical component of velocity
- Acceleration only
Show answer and explanation
Answer: C. Vertical component of velocity
Time of flight T = 2v sinθ/g depends only on the vertical component of the initial velocity (v sinθ) and g.
2025 2nd Annual · 11th · Motion and Force
The unit of force in terms of base units is:
- kg·m/s
- kg·m/s²
- kg·m²/s
- kg²·m/s²
Show answer and explanation
Answer: B. kg·m/s²
Force = mass × acceleration, so its SI base units are kg·m/s² (the newton).
2025 2nd Annual · 11th · Motion and Force
For a freely falling body, the vertical velocity at the 4th second is:
- 94.9 ms⁻¹
- 47.5 ms⁻¹
- 40 ms⁻¹
- 39.2 ms⁻¹
Show answer and explanation
Answer: D. 39.2 ms⁻¹
v = gt = 9.8 × 4 = 39.2 m/s (starting from rest).
2025 2nd Annual · 11th · Motion and Force
The maximum range of a projectile is obtained when launch angle θ =
- 30°
- 45°
- 60°
- 90°
Show answer and explanation
Answer: B. 45°
Range R = v²sin2θ/g is maximum when sin2θ = 1, i.e. θ = 45°.
2024 Annual · 11th · Motion and Force
Angle of projection, for which the range of a projectile becomes half of its maximum range, is equal to:
- 45°
- 60°
- 30°
- 15°
Show answer and explanation
Answer: D. 15°
R = (v²/g)sin2θ; max range at θ=45°. Half range needs sin2θ=0.5 ⇒ 2θ=30° ⇒ θ=15° (or 75°, not listed).
2026 Annual · 11th · Motion and Force
A 5 kg shell is fired with a muzzle velocity of 700 ms⁻¹ from a gun barrel 2.4 m long. Calculate the average value of: (a) the acceleration, (b) the time to come out of the barrel.
Show model answer
(a) Using v² = u² + 2as, with u = 0 (starts at rest in the barrel), v = 700 m/s, s = 2.4 m:
a = v²/(2s) = 700²/(2×2.4) = 490000/4.8
a ≈ 1.02 × 10⁵ m/s²
(b) Using v = u + at: t = v/a = 700/(1.02×10⁵)
t ≈ 6.86 × 10⁻³ s
2024 Annual · 11th · Motion and Force
For a projectile show that: R = R_max sin2θ.
Show model answer
Range of a projectile launched with speed v at angle θ: R = (v²sin2θ)/g.
Maximum range occurs at θ=45° (sin2θ=1): R_max = v²/g.
So v²/g = R_max, and substituting back: R = R_max sin2θ — the range at any angle θ equals the maximum range multiplied by sin2θ.