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A particle starts from origin with unifo...

A particle starts from origin with uniform acceleration. Its displacement after t seconds is given in meter by the relation `x=2+5t+7t^2`. Calculate the magnitude of its
a. Initial velocity
b. Velocity at `t=4s`
c. Uniform acceleration
d. Displacement at `t=5s`

Text Solution

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`x=2+5t+7t^2implies(dx)/(dt)=v=5+14t`
a. `v_(t=0)=5+14xx0=5ms^-1`
b. `v_(t=4s)=5+14xx4=61ms^-1`
c. `a=(dv)/(dt)=14ms^-2`
d. `x_(t=5s)=2+5xx5+7xx5^2=202m`
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CENGAGE PHYSICS-BASIC MATHEMATICS-Exercise 2.6
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