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Question 10
An object moves from rest. The graph shows how the acceleration a varies with time t: Which of the following graphs best shows how the velocity y of the object vari... show full transcript
Step 1
Answer
To determine how velocity varies with time when acceleration is known, we must consider the relationship between these two quantities. The acceleration is defined as the rate of change of velocity with respect to time:
This shows that if acceleration is constant (in this case, it is increasing linearly), velocity will change at a non-linear rate.
Step 2
Step 3
Answer
Given that the acceleration is increasing, the velocity graph should reflect that the increase in velocity is not linear; rather, it should show a curve that becomes steeper as time goes on. Therefore, the correct graph representing how velocity y varies with time t is graph B.
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