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A particle is moving with a constant acceleration a=i-2j + 2k m/s² and instantaneous velocity
V = i +2j+2k m/s, then rate of change of speed of particle 2 second after this instant will be :
(A) 19/7 m/s2 (B) 19/3 m/s (c)3 m/s (D) None of these
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Answer:
3 m/s²
Explanation:
A particle is moving with a constant acceleration a=i-2j + 2k m/s²
=> rate of change of speed of particle 2 second after this instant will be also same =i-2j + 2k m/s²
rate of change of speed of particle = √1² +(-2)² +(2)²
=√(1 + 4+ 4)
=√9
= 3 m/s²
Speed after 2 sec = i +2j+2k + 2(i-2j + 2k)
= 3i -2j + 6k
= √3² + 2² + 6²
= √9 + 4 + 36
=√49
= 7 m/s
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