Worksheet: Velocity–Time Graphs

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In this worksheet, we will practice calculating the displacement or acceleration of a particle moving in a straight line from 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 ] .

Q11:

The figure shown is a velocity-time graph for two cars moving in a straight line. The movement of car 𝐴 is represented by the green line, and the movement of car 𝐵 by the blue line. Determine how long it took for the two cars to meet again, given that they started from the same point.

Q12:

The figure shown is a speed-time graph for a body moving in a straight line. Given that its initial speed was 5 m/s, determine the body’s acceleration during the part of the journey where the body was accelerating.

Q13:

The figure shown is a velocity-time graph for a body moving in a straight line with an initial velocity of 10 m/s. Determine the total distance covered by the body, given that it came to rest 100 seconds after it started moving.

Q14:

The figure shown is a velocity-time graph for a body moving in a straight line. Determine the deceleration of the body during the final section of its movement, given that it came to rest 100 seconds after it started moving.

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