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Don't read anything yet. Drop a ball through a light gate from five heights and watch the results table and the graph fill in as you go. Try a steel ball and a ping-pong ball, then give one a push and see what it does to your answer. The stop clock tab is the method on page 6 of your workbook. Then put the method in order and spot what went wrong for five students.
1 · Choose the drop height s (bottom of the ball to the light gate)
| height s / m | speed at gate v / m/s | v² / m²/s² | a = v² ÷ 2s / m/s² |
|---|
Why v² = u² + 2as? The ball starts from rest, so u = 0 and the equation becomes v² = 2as. Rearrange: a = v² ÷ 2s. The light gate and data logger give you v; the tape measure gives you s.
1 · Choose the drop height s (bottom of the ball to the floor)
| s / m | t₁ / s | t₂ / s | t₃ / s | mean t / s | t² / s² | a = 2s ÷ t² / m/s² |
|---|
Where a = 2s ÷ t² comes from — using only iGCSE equations. Average speed = s ÷ t. It starts from rest and speeds up steadily, so its final speed is twice the average: v = 2s ÷ t. Then a = (v − u) ÷ t = (2s ÷ t − 0) ÷ t = 2s ÷ t². On a graph of s against t², the gradient is a ÷ 2, so a = 2 × gradient.
Click the steps in the right order
Your method
Physics With Kate · physicswithkate.com — Edexcel International GCSE Physics
The notes below give you the method, the equation, the graph and the evaluation points — everything a "describe an experiment" question asks for.
Investigate the motion of everyday objects, such as toy cars and tennis balls, and use the results to calculate the acceleration. For a dropped ball, that acceleration is the gravitational field strength, g.
Where a = v² ÷ 2s comes from. Start from v² = u² + 2as. The ball starts from rest, so u = 0 and v² = 2as. Divide both sides by 2s: a = v² ÷ 2s.
How the light gate gets v. The ball blocks the beam as it passes. The data logger measures how long the beam is blocked and divides the width of the ball by that time: speed = distance ÷ time.
Where a = 2s ÷ t² comes from. Average speed = s ÷ t. A ball speeding up steadily from rest reaches a final speed of twice its average speed, so v = 2s ÷ t. Then a = (v − u) ÷ t = (2s ÷ t) ÷ t = 2s ÷ t².
| Variable | In this practical |
|---|---|
| Independent — what you change | the drop height s |
| Dependent — what you measure | the speed v at the light gate (or the time t) |
| Control — what you keep the same | the same ball, released from rest, the same way each time |
| height s / m | speed v / m/s | v² / m²/s² | a = v² ÷ 2s / m/s² |
|---|---|---|---|
| 2.0 | 6.20 | 38.4 | 9.6 |
| 1.8 | 5.89 | 34.7 | 9.6 |
| 1.6 | 5.57 | 31.0 | 9.7 |
| 1.4 | 5.20 | 27.0 | 9.7 |
| 1.2 | 4.83 | 23.3 | 9.7 |
Plot v² (y-axis) against s (x-axis). Because v² = 2as, you get a straight line through the origin with gradient = 2a, so a = gradient ÷ 2.
With a stop clock, plot s (y-axis) against t² (x-axis). That is also a straight line through the origin, with gradient = a ÷ 2, so a = 2 × gradient.
The acceleration is the same for each height, with a value of approximately 9.7 m/s², which is the gravitational field strength.
| What to do | Why | |
|---|---|---|
| Precaution | Let go of the ball from rest — don't push it | a = v² ÷ 2s only works if u = 0. A push makes a too big. |
| Precaution | Measure s from the bottom of the ball, at eye level | That is the distance it actually falls. Eye level avoids parallax error. |
| Improvement | Use a more streamlined, dense object (a steel ball) | Reduces air resistance, so a is closer to g. |
| Improvement | Use a light gate instead of a stop clock | A 2 m fall takes about 0.6 s; reaction time (about 0.2 s) is a big share of that. |
| Improvement | Repeat each height and take a mean | Reduces the effect of random error. |
The same practical works for a toy car rolling down a ramp, which past papers have used. Release the car from rest at a measured distance s up the ramp, measure its speed v with a light gate at the bottom, and calculate a = v² ÷ 2s. The acceleration is the same from every distance — a constant acceleration — but much less than 9.8 m/s², because only part of the car's weight pulls it down the slope.
Keep feet and hands clear of where the ball or car lands. Clamp the stand firmly so it can't topple, and don't stand on a chair to reach a bigger height.
s with a tape measure; v with a light gate (or t with a stop clock) u = 0, several heights, take a mean a = v² ÷ 2s or a = 2s ÷ t²
A ball is dropped from rest through a height of 1.5 m. A light gate measures its speed as 5.4 m/s. Calculate its acceleration.
v² = u² + 2as with u = 0 · a = v² ÷ 2s = 5.4² ÷ (2 × 1.5) = 29.16 ÷ 3.0 = 9.7 m/s²
A tennis ball falls 2.0 m in a mean time of 0.64 s. Calculate its acceleration.
a = 2s ÷ t² = (2 × 2.0) ÷ 0.64² = 4.0 ÷ 0.41 = 9.8 m/s²
A student's values of acceleration are all bigger than 9.8 m/s². Suggest a reason.
The ball was pushed as it was released, so its starting speed was not zero and the speed at the light gate was bigger than it should be.
Suggest one improvement to the stop clock method, and explain it.
Use a light gate and data logger instead, because the fall only takes about 0.6 s and human reaction time is a large fraction of that.
What you measure and what with · release from rest · repeat for several heights and take a mean · the equation you use to get a · a conclusion that names g, about 9.8 m/s².
Draw the set-up, fill the gaps in the method, complete the results table and the graph, then write the conclusion and evaluation.
Edexcel iGCSE Forces and Motion Workbook · page 6The whole practical, explained out loud — useful for a last-minute recap, or if you'd rather hear it than read it.
The whole practical, explained out loud — useful for a last-minute recap, or if you'd rather hear it than read it. The video is on its way.
Video coming soon
The walkthrough for this practical is being filmed and will appear right here. Until then, the notes and the free workbook page above cover every mark.
Page 6 of the Forces and Motion workbook is free: draw the set-up, complete the method, the results, the graph, the conclusion and the evaluation. The full book covers the whole topic with worked answers.
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