Question:
A police jeep is chasing with velocity of $45\, km / h$, a thief in another jeep moving with velocity $153\, km / h$. Police fires a bullet with muzzle velocity of $180\, m / s$. The velocity with which it will strike the car of the thief, is:
A police jeep is chasing with velocity of $45\, km / h$, a thief in another jeep moving with velocity $153\, km / h$. Police fires a bullet with muzzle velocity of $180\, m / s$. The velocity with which it will strike the car of the thief, is:
Updated On: Jul 12, 2022
- 150 m/s
- 27 m/s
- 450 m/s
- 250 m/s
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The Correct Option is A
Solution and Explanation
The relative velocity of thief 's jeep with respect to police jeep
$=153-45$
$=108\, km / h$
$=108 \times \frac{5}{18}$
$=30\, m / s$
Therefore, striking speed = relative, speed of bullet with respect to thief 's car
$=180-30$
$=150\, m / s$
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Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration