Question
A particle moving in a straight line has velocity and displacement equation as V = 4 √1+S , where V in m/s and s is in m.
The initial velocity of the particle in m/s is ______
The initial velocity of the particle in m/s is ______
Answer: Option D
:
D
v=dsdt=4√1+s⇒∫sods√1+s=4∫todt⇒4t=2[√1+s−1]⇒2t+1=√1+s⇒1+s=4t2+1+4t⇒s=4t2+4tAtt=0s,s=0m⇒v|att=0s=4√1+0=4ms−1
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:
D
v=dsdt=4√1+s⇒∫sods√1+s=4∫todt⇒4t=2[√1+s−1]⇒2t+1=√1+s⇒1+s=4t2+1+4t⇒s=4t2+4tAtt=0s,s=0m⇒v|att=0s=4√1+0=4ms−1
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