Worksheet: Area under Velocity–Time Graph

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In this worksheet, we will practice calculating the displacement of a particle moving in a straight line by evaluating the area under its velocity–time graph.

Q1:

The given velocity-time graph represents a particle moving in a straight line. Determine its displacement at 𝑡 = 2 s .

Q2:

Given the velocity-time graph for a particle that moved in a straight line, determine its acceleration at 𝑡 = 3 s .

Q3:

Given the velocity-time graph of a particle moving in a straight line, determine the displacement of the particle within the time interval [ 0 , 9 ] .

Q4:

Given the velocity-time graph of a particle moving in a straight line, determine the distance covered by the particle within the time interval [ 0 , 8 ] .

Q5:

The given velocity-time graph represents a particle moving in a straight line. Determine its displacement at 𝑡 = 5 s .

Q6:

Given the velocity-time graph of a particle moving in a straight line, determine the distance covered by the particle within the time interval [ 0 , 7 ] .

Q7:

Given the velocity-time graph of a particle moving in a straight line, determine the distance covered by the particle within the time interval [ 0 , 9 ] .

Q8:

Given the velocity-time graph of a particle moving in a straight line, determine the displacement of the particle within the time interval [ 0 , 7 ] .

Q9:

Given the velocity-time graph of a particle moving in a straight line, determine the displacement of the particle within the time interval [ 0 , 6 ] .

Q10:

Given the velocity-time graph of a particle moving in a straight line, determine the displacement of the particle within the time interval [ 0 , 8 ] .

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