A car accelerates from rest to a speed of 100 km/h in 10 seconds. What is its ac

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Question: A car accelerates from rest to a speed of 100 km/h in 10 seconds. What is its acceleration? (2023)

Options:

Correct Answer: 5 m/s²

Exam Year: 2023

Solution:

Acceleration = (Final Speed - Initial Speed)/Time = (100 km/h × (1000 m/3600 s))/10 s = 5 m/s²

A car accelerates from rest to a speed of 100 km/h in 10 seconds. What is its acceleration? (2023)

A car accelerates from rest to a speed of 100 km/h in 10 seconds. What is its acceleration? (2023)

Step 1: Identify the initial speed of the car. Since the car starts from rest, the initial speed is 0 km/h.
Step 2: Identify the final speed of the car. The final speed is given as 100 km/h.
Step 3: Convert the final speed from km/h to m/s. Use the conversion factor: 100 km/h = 1000 m / 3600 s. So, 100 km/h = 1000 / 3600 = 5/18 m/s.
Step 4: Calculate the acceleration using the formula: Acceleration = (Final Speed - Initial Speed) / Time.
Step 5: Substitute the values into the formula. Initial Speed = 0 m/s, Final Speed = (100 km/h converted to m/s), and Time = 10 seconds.
Step 6: Perform the calculation: Acceleration = (5/18 m/s - 0 m/s) / 10 s.
Step 7: Simplify the calculation: Acceleration = (5/18) / 10 = 5/180 m/s² = 1/36 m/s².
Step 8: Convert the result to a more common unit if necessary, but in this case, we can keep it as is.

Acceleration – Acceleration is the rate of change of velocity of an object over time.
Unit Conversion – Converting speed from km/h to m/s is necessary for consistent units in calculations.
Kinematics Formula – Using the formula for acceleration, which is the change in velocity divided by the time taken.