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A bullet is fired from a gun with a speed of 1000 m/s in order to hit a target 100 m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and g = 10 m/s2)
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- 5 cm
- 10 cm
- 15 cm
- 20 cm
Correct Option: A
Speed of the bullet (v) = 1000 m/s and horizontal distance of the target (s) = 100 m.
| Time taken to cover the horizontal distance (t) = | = 0.1 sec | |
| 1000 |
During this time, the bullet will fall down vertically due to gravitational acceleration.
| ∴ height = ut + | gt2 | |
| 2 |
| = (0 × 0.1) + | 10(0.1)2 = 0.05 m = 5 cm | |
| 2 |
