A force of 1500 N is acting horizontally on a vehicle of mass 200 kg and the vehicle starts its motion from rest. What will be the speed of the vehicle when it covers a distance of 30 m?
Correct answer: B. 21 m s-1
- A. 17 m s-1
- B. 21 m s-1
- C. 25 m s-1
- D. 10 m s-1
Explanation
To determine the speed of the vehicle when it covers a distance of 30 m, we can use Newton's second law of motion:F = ma In this case, the force acting on the vehicle is 1500 N, and the mass of the vehicle is 200 kg. We can rearrange the equation to solve for acceleration: a = F / m a = 1500 N / 200 kg a = 7.5 m/s² Now, we can use the equation for uniform acceleration to find the final velocity (v) of the vehicle when it covers a distance of 30 m: v² = u² + 2as v² = 0² + 2 x 7.5 m/s² x 30 m v² = 2 x 7.5 m/s² x 30 m v² = 450 m²/s² v ≈ 21.21 m/s
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