Question : A bullet is fired with a speed of 100m/s in order to hit a target 100m away. If g = 10m/s2, the gun should be aimed
(a) Directly Towards the Target
(b) 5 cm above the target
(c) 10 cm above the target
(d) 15cm above the target
Answer : The Right option is (b)
Solution :
The time taken by the bullet to reach the target
t = d/v
t = 100/1000 = 0.1s
Now, in this time the total vertical distance travelled by the bullet is
h = (1/2) gt2
h = (1/2)(10)(0.1)2
h = 0.05m or 5 cm
Therefore, it has to be aimed 5 cm above the target.