PHYSICS

JAMB 2012 - Question 6

Physics 2012 JAMB Past Questions - Question 6: Calculate the total distance covered by a train before coming to rest if its initial speed is 30ms-¹ with a constant retardation of 0.1

Choose the correct answers from the options given.
Calculate the total distance covered by a train before coming to rest if its initial speed is 30ms-¹ with a constant retardation of 0.1
A:
B:
C:
D:
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Correct Answer

B

Explanation

To calculate the total distance covered by the train before coming to rest, we can use the equation of motion:

v² = u² + 2as

Where:
v = final velocity (0 m/s, since the train comes to rest)
u = initial velocity (30 m/s)
a = acceleration (retardation in this case, which is -0.1 m/s²)
s = distance covered

Rearranging the equation, we have:

s = (v² - u²) / (2a)

Substituting the given values, we get:

s = (0² - 30²) / (2 * -0.1)

s = (-900) / (-0.2)

s = 4500 meters

Therefore, the total distance covered by the train before coming to rest is 4500 meters.