A train starts from rest and accelerates uniformly at 2 m/s². What is its speed

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Question: A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)

Options:

Correct Answer: 20 m/s

Exam Year: 2021

Solution:

Using the formula: final velocity = initial velocity + acceleration * time. Final velocity = 0 + 2 * 10 = 20 m/s.

A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)

A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)

Step 1: Identify the initial velocity of the train. Since the train starts from rest, the initial velocity is 0 m/s.
Step 2: Identify the acceleration of the train. The problem states that the acceleration is 2 m/s².
Step 3: Identify the time for which the train accelerates. The problem states that this time is 10 seconds.
Step 4: Use the formula for final velocity: final velocity = initial velocity + (acceleration * time).
Step 5: Substitute the values into the formula: final velocity = 0 + (2 m/s² * 10 s).
Step 6: Calculate the result: final velocity = 0 + 20 = 20 m/s.

Uniform Acceleration – The train accelerates at a constant rate, allowing the use of the linear motion equations.
Kinematic Equations – Application of the formula for final velocity in uniformly accelerated motion.