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- Ceva’s Theorem Is More Than a Formula for Concurrency
- The Chain Rule Explained: Don't Just Memorize, Visualize It
- The Intuition Behind Integration by Parts (Proof & Example)
- Statics
- Calculus
- Hydraulics: Rotating Vessel
- Inverse Trigo
- Problems in progression
- General Solution of $y' = x \, \ln x$
- engineering economics: construct the cash flow diagram
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Re: Velocity and Acceleration
Q.1 Can a body have a velocity without an acceleration?
ANS- Yes.
a body moving with uniform velocity doesn't have any acceleration, as acceleration is rate of change of velocity W.R.T time, for uniform velocity this rate of change is ZERO.
it means for all uniform velocities, acceleration is zero.
Q.2 Can it have an acceleration with zero velocity? Give examples.
ANS- yes.
we can have acceleration with zero velocity.
consider you thrown a ball straight up in the air. While going up, this ball has acceleration always acting in downward direction (i.e. acceleration due to gravity). after reaching maximum height this ball stops, and starts moving downward. while it is at max altitude, velocity of ball is ZERO and its acceleration is still in downward direction (i.e. acceleration due to gravity).
hope this will help you