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A particle is at x=+5 m at t=0, x=-7m a...

A particle is at x=+5 m at t=0,
x=-7m at t=6 s and x =+2 at t=10s.Find the averahe velocity of the particle during the intervals
(a)t=0 to t=6s
(b)t=6s to t=10s,
(c)t=0 to t=10 s.

Text Solution

Verified by Experts

The correct Answer is:
1
From the defination of averahe velocity
`v=(Deltax)/(Deltat)=(x_(2)-x_(1))/(t_(2)-t_(1))`
(a)The average velocity between the times
t=0 t=6s
`x_(1)=+5,t_(1)=0x_(2)=-7 mt_(2)=6s`
Hence `v_(1)=(x_(1)-x_(1))/(t_(2)-t_(1))=(-7-5)/(6-0)=-2ms^(-1)`
(b) The average velocity between the times
`t_(2)=6s` to `t_(3)=10s` is
`v_(2)=(x_(3)-x_(2))/(t_(3)-t_(2))=(2-(-7))/(10-6)=(9)/(4)=2.25ms^(-1)`
(c )The average velocity betwee times
`t_(1)=0` to `t_(3)=10 s` is
`v_(3)=(x_(3)-x_(1))/(t_(3)-t_(1))=(2-5)/(10-0)=0.3 ms^(-1)`
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