# Lesson Worksheet: Velocity–Time Graphs Mathematics

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 . Q2:

Given the velocity-time graph for a particle that moved in a straight line, determine its acceleration at . Q3:

Given the velocity-time graph of a particle moving in a straight line, determine the displacement of the particle within the time interval . Q4:

The figure shown is a velocity-time graph for two cars moving in a straight line. The movement of car is represented by the green line, and the movement of car by the blue line. Determine how long it took for the two cars to meet again, given that they started from the same point. Q5:

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. Q6:

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. Q7:

Below is a velocity–time graph of a marathon runner running down a racetrack over a period of 8 seconds. Find the acceleration of the runner during the first 2 seconds.

Find the distance covered by the runner over the 8-second period.

Q8:

The figure shows a velocity time graph of a particle moving in a straight line. When is the particle’s acceleration zero? • Afrom to and from to
• Bfrom to
• Cfrom to
• Dfrom to

Q9:

Which color graph represents the path of a particle whose velocity is increasing? • AGreen
• BBlue
• CRed
• DYellow

Q10:

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