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) |
---|---|
0 | 0 |
20 | 1 |
40 | 2 |
60 | 3 |
80 | 4 |
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) |
---|---|
0 | 0 |
4 | 1 |
10 | 2 |
25 | 3 |
75 | 4 |
150 | 5 |
400 | 6 |
Change in velocity = 200-70 = 130m/s
Time period = 2 seconds
Acceleration = change in velocity/time
Acceleration = 130/2 = 65m/s2
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