Home
Class 11
PHYSICS
A particle starts from a pointn A and tr...

A particle starts from a pointn A and travels along the solid curve shown in figure. Find approximately the position B of the particle such that the average velocity between the positions A and B has the same direction as the instantaneous velocity at B.

Text Solution

Verified by Experts

The correct Answer is:
C

AT position B instasntaneous velocity has direction along `vec(BC)` For average velocity between A and B `V_(av)=displacement/time
=(vec(AB)/t)
` We can see that `vec(AB) is along (BC) i.e. they are in same direction. The point is B (5m, 3,).
Promotional Banner

Similar Questions

Explore conceptually related problems

A man moves in x-y plane along the path shown. At what points is his average velocity vector in the sam direction as his instantaneous velocity vector. The man starts from point P .

A particle starts from mean position and moves towards positive extreme as show below. Find the equation of the SHM , Amplitude of SHM is A .

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point. .

A particle is moving on X- axis. Its velocity time graph is given in the figure. Find distance travelled by the particle in 5 sec .

The motion of a particle is described by the equation x = a+bt^(2) where a = 15 cm and b = 3 cm//s . Its instantaneous velocity at time 3 sec will be

s-t graph of two particles A and B are shown in fig. Find the ratio of velocity of A to velocity of B.

The velocity of a particle moving in the positive direction of the x axis varies as v=alphasqrtx , where alpha is a positive constant. Assuming that at the moment t=0 the particle was located at the point x=0 , find: (a) the time dependence of the velocity and the acceleration of the particle, (b) the mean velocity of the particle averaged over the time that the particle takes to cover the first s metres of the path.

A particle is projected with a speed v and an angle theta to the horizontal. After a time t, the magnitude of the instantaneous velocity is equal to the magnitude of the average velocity from 0 to t. Find t.

Acceleration of particle moving along the x-axis varies according to the law a=-2v , where a is in m//s^(2) and v is in m//s . At the instant t=0 , the particle passes the origin with a velocity of 2 m//s moving in the positive x-direction. (a) Find its velocity v as function of time t. (b) Find its position x as function of time t. (c) Find its velocity v as function of its position coordinates. (d) find the maximum distance it can go away from the origin. (e) Will it reach the above-mentioned maximum distance?

In one second, a particle goes from point A to point B moving in a semicircle (Fig). Find the magnitude of the average velocity.