A particle is moving in a straight line such thatits velocity varies as `v=v_(0) e^(lambdat)`, where interval in which the velocity decreases from `v_(0)` to `v_(0)/2`.

A particle is moving in a straight line such that its velocity varies as v=v_(0) e^(-lambdat) , where lambda is a constant. Find average velocity during the time interval in which the velocity decreases from v_(0) to v_(0)/2 .

A particle is moving in a straight line under constant acceleration alpha. If the intial velocity is v_(0) , sketch the v-t and s-t graphs. (v_(0)gt0) .

A particle moves in a straight line so that its velocity at any point is given by v^(2)=a+bx , where a,b ne 0 are constants. The acceleration is

A particle in moving in a straight line such that its velocity is given by v=12t-3t^(2) , where v is in m//s and t is in seconds. If at =0, the particle is at the origin, find the velocity at t=3 s .

A particle is moving in a straight line. It covers half of the total distance with velocity v_(0) Remaining half distance is covered with a velocity v_(1) for half the time and with velocity v_(2) for another half of time. Find the average velocity of the particle.

A particle is moving in a straight line such that dv//dt=-lambdav , where v is the velocity and lambda is a constant. At t=0 , the particle is at the origin and moves with velocity v_(0) . Sketch the following graphs: (a) v-t (b) s-t (c ) v-s (d) log_(e)v v//s t

A particle starts moving in a straight line with initial velocity v_(0) Applied forces cases a retardation of av, where v is magnitude of instantaneous velocity and alpha is a constant. How long the particle will take to come to rest.

A particle starts moving in a straight line with initial velocity v_(0) Applied forces cases a retardation of av, where v is magnitude of instantaneous velocity and alpha is a constant. Total distance covered by the particle is