If a car accelerates from rest at a rate of 2 m/s², what will be its speed after

₹0.0

Question: If a car accelerates from rest at a rate of 2 m/s², what will be its speed after 5 seconds? (2023)

Options:

Correct Answer: 10 m/s

Exam Year: 2023

Solution:

Speed = Initial speed + (Acceleration × Time) = 0 + (2 m/s² × 5 s) = 10 m/s.

If a car accelerates from rest at a rate of 2 m/s², what will be its speed after 5 seconds? (2023)

If a car accelerates from rest at a rate of 2 m/s², what will be its speed after 5 seconds? (2023)

Step 1: Identify the initial speed of the car. Since the car starts from rest, the initial speed is 0 m/s.
Step 2: Identify the acceleration of the car. The car accelerates at a rate of 2 m/s².
Step 3: Identify the time duration for which the car accelerates. In this case, it is 5 seconds.
Step 4: Use the formula for speed: Speed = Initial speed + (Acceleration × Time).
Step 5: Substitute the values into the formula: Speed = 0 m/s + (2 m/s² × 5 s).
Step 6: Calculate the acceleration part: 2 m/s² × 5 s = 10 m/s.
Step 7: Add the initial speed to the calculated acceleration: 0 m/s + 10 m/s = 10 m/s.
Step 8: Conclude that the speed of the car after 5 seconds is 10 m/s.

Kinematics – The study of motion, specifically how speed, acceleration, and time relate to each other.
Acceleration – The rate of change of velocity of an object, measured in meters per second squared (m/s²).
Initial Speed – The speed of the object at the start of the observation, which is zero in this case since the car starts from rest.