A car starts from rest and accelerates at 10 m/s² for 5 s. What is its final velocity?

Question

A car starts from rest and accelerates at 10 m/s² for 5 s. What is its final velocity??  
A. 2 m/s  
B. 5 m/s  
C. 50 m/s  
D. Cannot be determined

Accepted Answer

Correct Answer: (C)50 m/s. 
Rationale: The car’s final velocity is 50 m/s.When an object accelerates at a constant rate, its final velocity can be found using the kinematic equation:final velocity equals initial velocity plus acceleration multiplied by timewhere u is the initial velocity, a is the acceleration, and t is the time. In this case, the car starts from rest, so the initial velocity is zero.A) 2 m/sThis value results from incorrectly dividing the acceleration by the time or misusing the relationship between acceleration and velocity. Acceleration represents the rate of change of velocity per second, not a value to be divided by time in this way.B) 5 m/sThis option uses only the time component and ignores the magnitude of the acceleration. Velocity depends on both how fast the speed changes and how long the acceleration acts, so time alone is insufficient.C) 50 m/sStarting from rest means the initial velocity is 0 m/s. Applying the kinematic equation gives:final velocity equals zero plus acceleration multiplied by timefinal velocity equals zero plus 10 m per second squared multiplied by 5 secondsfinal velocity equals 50 m per secondThis correctly accounts for both the acceleration and the time over which it acts.D) Cannot be determinedAll necessary information is provided: initial velocity, acceleration, and time. With these values, the final velocity can be calculated directly, so the result is determinable.ConclusionA constant acceleration of 10 m per second squared acting for 5 seconds increases the car’s velocity by 50 m per second. Therefore, the final velocity is 50 m per second.

A car starts from rest and accelerates at 10 m/s² for 5 s. What is its final velocity?

A
2 m/s

B
5 m/s

C
50 m/s

D
Cannot be determined

The car’s final velocity is 50 m/s.

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Related Questions

A car starts from rest and accelerates at 10 m/s² for 5 s. What is its final velocity?

A 2 m/s B 5 m/s C 50 m/s D Cannot be determined

The car’s final velocity is 50 m/s.

Topic Flashcards

Mini Quiz

Related Questions

A
2 m/s

B
5 m/s

C
50 m/s

D
Cannot be determined