AQA GCSE Velocity time graphs calculating acceleration(Physics)

Practice Questions

1. Given two points on a velocity-time graph, how would you calculate the slope to find acceleration?

For a straight line graph, form a triangle. Measure the change in velocity and the change in time. 

Then use the formula

acceleration = change in velocity/time

For a curved line graph, draw a tangent line to the curve where you want to measure the gradient. Use the tangent line to form a triangle. Measure the change in velocity and time. 

Calculate acceleration by dividing the change in velocity by time period.

2. What does a curved line on a velocity-time graph indicate about acceleration?

Gradient is changing, so the acceleration is changing. 

3. Use the following data to draw a velocity time graph and then calculate the acceleration.

Velocity (m/s)Time (s)
00
201
402
603
804
Velocity time graph with gradient using a straight line to calculate the acceleration

Change in velocity = 40m/s

Time period 2 seconds

Acceleration = Change in velocity/time


Acceleration = 40/2 = 20m/s2

4. Use the following data to draw a velocity time graph and then calculate the gradient at 4.5 seconds.

Velocity (m/s)Time (s)
00
41
102
253
754
1505
4006
Velocity time graph, measuring gradient for curved line to find the acceleration

Change in velocity = 200-70 = 130m/s

Time period = 2 seconds

Acceleration = change in velocity/time


Acceleration = 130/2 = 65m/s2

Accordion Content

Accordion Content