Kinematics Question 612

Question: A bullet it’s fired with a speed of 1500m/s in order to hit a target 100 m away. If g=10m/s2. The gun should be aimed

Options:

A) 15 cm above the target

B) 10 cm above the target

C) 2.2 cm above the target

D) directly towards the target

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The bullet performs a horizontal journey of 100 cm with constant velocity of 1500 m/s. The bullet also performs a vertical journey of h with zero initial velocity and downward acceleration g.

For horizontal journey, time (t)=distanceVelocity

t=1001500=115sec (1)

The bullet performs vertical journey for this time.

For vertical journey, h=ut+12gt2

h=0+12×10×(115)2

or, h=209 cm = 2.2cm



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