SATHEE: Motion in a Plane - Result Question 28

Motion in a Plane - Result Question 28

31. 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 $. g = 10 m / s^{2})$

[1995]

(a) $5 c m$

(b) $10 c m$

(d) $20 c m$

Topic 3: Projectile Motion

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Answer:

Correct Answer: 31. (a)

Solution:

(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 $(t)$ $= \frac{100}{1000} = 0.1 s e c$ .

During this time, the bullet will fall down vertically due to gravitational acceleration.

$∴$ height $(h) = u t + \frac{1}{2} g t^{2}$

$\begin{aligned} = (0 \times 0.1) + \frac{1}{2} \times 10 (0.1)^{2} \\ = 0.05 m = 5 c m \end{aligned}$

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Motion in a Plane - Result Question 28

31. A bullet is fired from a gun with a speed of 1000 m/s in order to hit a target 100m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and .g=10m/s2)

Topic 3: Projectile Motion

Answer:

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31. 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 $. g = 10 m / s^{2})$