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Q.Describe three factors those affect the trajectory of a projectile. (1 × 3 = 3)

CBSECBSE Class XII Board 2026Subjective· 3mImportance★★★★★
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The trajectory of a projectile in sport — a shot-put, a javelin, a football kicked downfield — is shaped mainly by three factors: the speed of release, the angle of release, and gravity (with height of release, air resistance and spin as further influences).

When an athlete throws, hits or kicks an object, it becomes a projectile and follows a curved flight path. How high and how far it goes is decided by the following factors.

1. Speed of release

This is how fast the object is moving at the instant it leaves the hand, foot or implement, and it is set largely by the muscular force the athlete applies. The faster the release, the farther and higher the projectile travels — which is why a shot-putter or javelin thrower works so hard to build release speed. In fact the range grows with the square of the release speed, so even a small gain in speed produces a large gain in distance.

2. Angle of release

This is the angle, relative to the ground, at which the object is launched. A very steep launch sends it high but not far; a very flat launch keeps it low and it drops quickly. For a throw launched and landing at the same height the ideal is around 45°, but because an athlete releases a shot or javelin from shoulder height — above where it lands — the best angle in real throwing events is a little less than 45°.

Range R = v² × sin(2θ) / g — where v is the release speed, θ the release angle and g the downward acceleration of gravity. It shows directly how both a higher release speed (v) and the launch angle (θ) change the distance covered.

3. Gravity …

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