A train running at a speed of 90 km/hr starts slowing down at a constant rate…
2023
A train running at a speed of 90 km/hr starts slowing down at a constant rate of decrease in speed of 2.5 m/s². What is the distance covered by the train before it comes to a halt?
Answer: D. 125 m — First, convert the initial speed from km/hr to m/s: 90 × (5/18) = 25 m/s. Identify the known values: initial velocity u = 25 m/s, final velocity v = 0 m/s…
- A.
500 m
- B.
750 m
- C.
250 m
- D.
125 m
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Correct answer: D
First, convert the initial speed from km/hr to m/s: 90 × (5/18) = 25 m/s.
Identify the known values: initial velocity u = 25 m/s, final velocity v = 0 m/s (halt), and acceleration a = -2.5 m/s².
Use the kinematic equation v² = u² + 2as to solve for distance s.
Substitute the values: 0² = (25)² + 2(-2.5)s => 0 = 625 - 5s.
Solve for s: 5s = 625 => s = 125 meters.