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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,
©t=0 to t=10 s.

Text Solution

Verified by Experts

From the defination of average velocity
`V=(trianglex)/(trianglet)=(x_(2)-x_(1))/(t_(2)-t_(1))`
(a) The average velocity between the times
t=0 to t=6s
`x_(1)=+5m, t_(1)=0, x_(2)=-7m t_(2)=6s`
Hence `v_(1)=(x_(2)-x_(1))/(t_(2)-t_(1))=(-7-5)/(6-0)=-2ms^(-1)`
(b) The average veloctiy 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 between times `t_(1)=0" to "t_(3)=10` s is
`v_(3)=(x_(3)-x_(1))/(t_(3)-t_(1))=(2-5)/(10-0)=-0.3ms^(-1)`
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