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Question

A particle is projected at an angle θ=30o with the horizontal, with a velocity of 10 ms1. Then

A
After 2 s, the velocity of particle makes an angle of 60o with initial velocity vector.
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B
After 1 s, the velocity of particle makes an angle of 60o with initial velocity vector.
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C
The magnitude of velocity of particle after 1 s is 10 ms1.
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D
The magnitude of velocity of particle after 1 s is 5 ms1.
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Solution

The correct options are
C After 1 s, the velocity of particle makes an angle of 60o with initial velocity vector.
D The magnitude of velocity of particle after 1 s is 10 ms1.

B,C
Velocity vector will be,
V=53i+(5gt)j
V=53i+(510t)j
Initially, Vi=53i+5j
at t=1, V1=53i5j
θ=Cos1Vi.V1ViV1
=Cos1752510×10=Cos1(50100)
=600

V1=(53)2+(5)2=10m/s

1088188_981117_ans_73e94496c2e54a36a0ad19a7d058cfe6.jpg

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