A particle is projected in XY-plane with a velocity u=(2i^+3j^)ms−1 at t = 0 from origin. Its acceleration is a=i^+4j^. Then,
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a
Its path is parabolic
b
its path is straight line
c
its position at t = 1s is (2.5i^+5j^)m
d
its speed at t = 1s is 58ms−1
answer is A.
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Detailed Solution
(1) Here, acceleration is constant but not directed in the direction of initial velocity.So, path is parabolic.(3) r=ut+12at2or r=2i^+3j^×1+12i^+4j^×12=2.5i^+5j^m(4) ∵v=u+at=2i^+3j^+i^+4j^=3i^+7j^∴Speed=v=58ms−1