Home
Class 11
PHYSICS
The distance travelled by a particle in ...

The distance travelled by a particle in time t is given by `s=(2.5m//s^(2))t^(2)`. Find
a. Average speed during the time 0 to 5.0 s and
b. the instantaneous speed at 5.0 s

Text Solution

Verified by Experts

a. Distance travelled during time 0 to 5.0 s is `s=(2.5m//s^(2))xx(5.0)^(2)=62.5m`
Average speed during this time `=62.5/5=12.5m//s`
`v_(av_)=12.5m//`
b. `s=(2.5m//s^(2))t^(2)`
`(ds)/(dt)=2.5m//s^(2)xx2xxt=5xxt`
`v=5.0xx5.0=25m//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

The distance covered by a body along the X-axis is given by x=2t^3 + 5t^2 + t where ‘t’ is the time measured in ‘s’while x is in ‘m.Define average velocity and instantaneous velocity.

The distance covered by a body along the X-axis is given by x=2t^3 + 5t^2 + t where ‘t’ is the time measured in ‘s’while x is in m.If the average velocity of a particle is equal to its instantaneous velocity,what type of motion it represents?

The displacement(S) of a body in a time t is given by S=at^2+bt .Find the dimensions of a and b.

The distance covered by a body along the X-axis is given by x=2t^3 + 5t^2 + t where ‘t’ is the time measured in ‘s’while x is in ‘m. Find the average velocity of the body in a time interval from t = 0 to t = 2s.

Displacement s of a particle at time t is expressed as s = (1)/(2) t^(3) - 6t . Find the acceleration at the time when the velocity vanishes (i.e., velocity tends to zero).

If s=2t^(3)-6t^(2)+a t+5 is the distance travelled by a particle at time t and if the velocity is -3 when its acceleration is zero, then the value of a is