Projectile Motion: Aim the Perfect Throw
Understand that a projectile keeps a constant horizontal speed while gravity changes its vertical speed, giving a curved path whose range depends on v² sin(2θ) ÷ g.
Before you try
What if you threw at 30° and then at 60° with the same speed? Would the ball land in two different places?
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What happened?
Move a control to see what changes and why.
There is no air resistance, the ball is launched from ground level, and gravity is fixed at 9.8 m/s². Real throws fall a little shorter.
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Try these ideas
- Keep the speed fixed and try 30°, then 60°. Compare the two ranges.
- Find the angle that gives the biggest range on flat ground.
- Press New target, then change only the speed until you hit the flag.
Why it works
Once a ball leaves your hand, only gravity acts on it (ignoring air). Gravity pulls straight down, so the sideways speed never changes while the upward speed drops by 9.8 metres per second every second, stops at the top and then builds up downwards. Adding those two motions together traces a curve called a parabola. The distance it covers is the range, and on flat ground it works out as speed squared times sin(2θ) divided by 9.8.
In this simulator you set the launch speed and angle, see the predicted path drawn instantly, then fire the ball and watch it follow that path to a target flag. Readouts give the range, the highest point and the time in the air. The model has no air resistance and launches from ground level, so real throws fall a little shorter than the prediction.
Check your understanding
Question 1 of 4
While a ball is flying through the air (ignoring air resistance), what happens to its horizontal speed?
On flat ground, which launch angle gives the greatest range for a fixed speed?
A ball launched at 25° lands 60 m away. Which other angle lands it in the same place at the same speed?
You double the launch speed and keep the angle. What happens to the range?
Explain it in your own words
What changed? Why did it happen? Where might you notice this in everyday life?
For parents & teachers
- Ask why a cricket ball thrown flat travels less far than one thrown at an angle.
- Throw a ball outside at different angles and compare with the simulator.
- Discuss why a real long jump or javelin throw uses an angle below 45°.