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Q.

Two particles are projected with speed 4 m/s and 3 m/s simultaneously from same point as shown in the figure. Then:

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a

Their relative velocity is along vertical direction

b

Their relative acceleration is nonzero and it is along vertical direction

c

They will hit the surface simultaneously

d

Their relative velocity is constant and has magnitude 1.4 m/s

answer is A.

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Detailed Solution

So, velocity of first particle        =3cos⁡37∘i^+3sin⁡37∘j^=125i^+95j^Velocity of second particle       =4cos⁡53∘i^+4sin⁡53∘j^=125i^+165j^So, relative horizontal velocity is zero. So their relative velocity is vertical only. Since both particles are moving under gravity so that relative acceleration is zero.Their relative velocity =165−95=75=1.4m/s
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Two particles are projected with speed 4 m/s and 3 m/s simultaneously from same point as shown in the figure. Then: