Home
Class 12
PHYSICS
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

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)`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

The distance travelled by a particle in time t is given by s=(2.5)t^(2) .Find (a)the average speed of the particle during the time 0 to 5.0s, and (b)the instantanous speed at t=5.0s. Here s is in metres.

The acceleration of a particle varie with time as shown in the figure Find the displacement of the particle in the interval from 1 = 2s to t = 4s Assume that v = 0 at t=0

A particle is moving along a line according s= f(t) = 8t + t^3 . Find the initial velocity

Velocity-time equation of a particle moving in a straight line is v=2t-4 for t le 2s and v= 4-2t for 1 gt 2s . The distance travelled ( in meters) by the particle in the time interval from t=0 to t=4s is 4k. The value of 'k' is ( Here t is in second and v in m/s) :

The distance travelled by a pparticle in time 't' is given by S=(2.5m//s^(2))t^(2) . Find the average speed of the particle during the time '0' to '5' sec.