Question:
If the initial velocity of a body is $V_1$ and final velocity is $V_2$ and the angle between $V_1$ and $V_1$ is $\phi$ then the change in velocity is.
If the initial velocity of a body is $V_1$ and final velocity is $V_2$ and the angle between $V_1$ and $V_1$ is $\phi$ then the change in velocity is.
Updated On: Jul 6, 2022
- $V-2-V_1$
- $\sqrt{V_2^2+V_1^2}$
- $\sqrt{V_1^2+V_2^2-2V_1V_2\,\cos\,\phi}$
- $\sqrt{V_1^2+V_2^2+2V_1V_2\,\cos\,\phi}$
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The Correct Option is C
Solution and Explanation
Answer (c) $\sqrt{V_1^2+V_2^2-2V_1V_2\,\cos\,\phi}$
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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