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Solved problems for the chapter:

Velocity - Time Graph

View the theory »

Vertical Motion under Gravity for KS4

1. Free fall acceleration

2. Description of free fall motion

2.1. Instantaneous/Final falling velocity

2.2. Height of fall

2.3. Time of fall

3. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:velocity_-_time_graph/3918/

Example 1.

The graph below shows how the speed of a cyclist has changed over time.

Complete the values on the coordinate axes of the graph and answer the following questions:

Describe the motion of the cyclist?
What was the total cycling time?
What was the total distance travelled by the cyclist?
What was the average speed of the cyclist?
How far did the cyclist travel in the fifth minute?

Example 2.

The velocity-time graph of the motion of a body is as shown below:

Draw the distance-time graph of the motion of the body.

The figure below is the velocity-time graph of the motion of a body.

Describe this motion.
What is the acceleration in each section of the motion?
Draw the acceleration-time graph of the motion.
Calculate the total distance covered by the body throughout this motion?
What is its average speed?

Velocity-time graph

An acceleration-time graph is given below:

Acceleration-time graph

Draw the velocity-time graph of the motion.
How much distance did the body cover in 16 seconds?

A trolley is placed on an inclined slope. A measuring tape is attached to the trolley and the trolley is run over a buzzer. (See picture!) A buzzer is a device that makes a tiny dot on a measuring tape every hundredth of a second. The trolley is made to slide down the slope, marking every fifth dot on the measuring tape and the distance between the points is measured.

Measurement of acceleration on an inclined slope

The following distances were recorded:

Calculate how the average velocity changed between the two marked points and draw a graph of velocity against the time.
Calculate the acceleration and final velocity of motion.
Draw a graph of the distance against the time. (The scale should be in cm and s.)
What was the average speed during the whole motion?

The speed-time graph of the motion of a body is given below:

Speed-time graph

Explain how the body moves:

in the first 20 s,
in the time interval from 20 s to 40 s,
in the time interval from 40 s to 50 s,
in the time interval from 50 s to 70 s,
in the time interval from 70 s to 80 s?

For each interval, state the acceleration and calculate it if possible.

A parachutist jumps out of the plane and falls for some time without an open parachute. The graph below shows the speed-time graph of his motion.

Describe the motion.
How long does it take the parachutist to accelerate during the fall?
What is his final velocity?