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Question
Take the z axis as vertical and the xy plane as horizontal. A particle A is projected at 4√2 m/s at an angle of 45∘ to the horizontal, in the xz plane. Particle B is projected at 5 m/s at an angle θ=tan−1(43) to y axis, in the yz plane. Which of the following is not correct for the velocity of B with respect to A?
Take the z axis as vertical and the xy plane as horizontal. A particle A is projected at 4√2 m/s at an angle of 45∘ to the horizontal, in the xz plane. Particle B is projected at 5 m/s at an angle θ=tan−1(43) to y axis, in the yz plane. Which of the following is not correct for the velocity of B with respect to A?
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Solution
The correct option is B Its magnitude will change with time.
→uA=4^i+4^k & →uB=3^j+4^k
→vA=(4^i+4^k)−(10t)^k & →B=(3^j+4^k)−(10t)^k
→uBA=−4^i+3^j & |→uBA|=5m/s
→vBA=−4^i+3^j=−4^i+3^j→ independent of time
Its magnitude will change with time.
→uA=4^i+4^k & →uB=3^j+4^k
→vA=(4^i+4^k)−(10t)^k & →B=(3^j+4^k)−(10t)^k
→uBA=−4^i+3^j & |→uBA|=5m/s
→vBA=−4^i+3^j=−4^i+3^j→ independent of time
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