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Derive the expression X-X0=∫vdt and V-V0=∫adt. and explain..

3 years ago

Vikas TU
9468 Points

rate of change of velocity is accln. from the definition.
Thus,
a = dv/dt
dv = a dt
integrating both sides we get,
at = v + c
at t=0 we edfine c = u
Therfore,
v =u + at this is frist law of eqn. of motion.
Simlarly,
v = dx/dt = u + at
dx = udt + atdt
Integerating both sides we get,
x = ut + 0.5at^2
3 years ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions