If the initial velocity of a body is V1 and final velocity is V2 and the angle between V1 and V1 is φ then the change in velocity is.

Question

If the initial velocity of a body is V1 and final velocity is V2 and the angle between V1 and V1 is φ then the change in velocity is. (A) V-2-V1 (B) √V22+V12 (C) √V12+V22-2V1V2 cos φ (D) √V12+V22+2V1V2 cos φ

Tardigrade Admin · Accepted Answer

Correct answer is (c) √V12+V22-2V1V2 cos φ

Q. 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 $ϕ$ then the change in velocity is.

$V - 2 - V_{1}$

$V_{2}^{2} + V_{1}^{2}$

$V_{1}^{2} + V_{2}^{2} - 2 V_{1} V_{2} cos ϕ$

$V_{1}^{2} + V_{2}^{2} + 2 V_{1} V_{2} cos ϕ$

Correct answer is (c) $V_{1}^{2} + V_{2}^{2} - 2 V_{1} V_{2} cos ϕ$

Q. If the initial velocity of a body is V1​ and final velocity is V2​ and the angle between V1​ and V1​ is ϕ then the change in velocity is.

V−2−V1​

V22​+V12​​

V12​+V22​−2V1​V2​cosϕ​

V12​+V22​+2V1​V2​cosϕ​