A bullet is fired with a speed of 1000,,m/sec in order to hit a target 100 m away. If g = 10,,m/{s^2

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2.Motion in Straight Line

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A bullet is fired with a speed of $1000\,\,m/\sec $ in order to hit a target 100 m away. If $g = 10\,\,m/{s^2}$, the gun should be aimed

A

Directly towards the target

B

$5 \,cm$ above the target

C

$10 \,cm$ above the target

D

$15\, cm$ above the target

Solution

(b) Bullet will take $\frac{{100}}{{1000}} = 0.1\,sec$ to reach target.

During this period vertical distance (downward)
travelled by the bullet

$ = \frac{1}{2}g{t^2}$$ = \frac{1}{2} \times 10 \times {(0.1)^2}m = 5\;cm$

So the gun should be aimed 5 cm above the target.

Standard 11

Physics

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