Question

A bullet is fired with a speed of $1000 \,m/s$ 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

Answer 1

Answer: (B)

5 cm above the target

Answer 2

Time taken by the bullet to reach the target $=\frac{100}{1000} s=0.1\, s$ $\therefore$ N the vertical distance travelled by the bullet $s=u t+\frac{1}{2} g t^{2}=0+\frac{1}{2} \times 10 \times(0.1)^{2}$ $=0.05\, m =5 \,cm$ So, the gun should be aimed $5 \,cm$ above $-$ target.