Home
Class 11
PHYSICS
A particle moving with a velocity equal ...

A particle moving with a velocity equal to `0.4 m//s` is subjected to an acceleration of `0.15 m//s^(2)` for `2 s`. in a direction at the right angle to its direction of motion. The resultant velocity is

Text Solution

Verified by Experts

In vector form, 1 st equation of motion is
`vec(v) = vec(u) + vec(a)t`
So, `v = sqrt(u^(2) + (at)^(2) + 2u (at) cos theta)`
Here `u = 0.4 m//s, a = 0.15 m//s^(2), t = 2s` and `theta = 90^(@)`
So, `u = sqrt([(0.4)^(2) + (0.15 xx 2)^(2) + 0]) = 0.5 m//s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Problem|14 Videos

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Problems and Practice|16 Videos

  • FRICTION AND CIRCULAR MOTION

    GRB PUBLICATION|Exercise Comprehension type|11 Videos

  • MOTION IN TWO AND THREE DIMENSIONS

    GRB PUBLICATION|Exercise All Questions|210 Videos

Similar Questions

Explore conceptually related problems

A horizontal conveyor belt moves with a constant velocity V.A small block is projected with a velocity of 6m//s on it in a direction opposite to the direction of motion of the belt The block comes to rest relative to the belt in a time 4s. mu =0.3, g =10 .m//s^(2) Find V .

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

A particle movesin the X-Y plane with a constasnt acceleration of 1.5 m/s^2 in the direction making an angle of 37^0 with the X-axis.At t=0 the particle is at the orign and its velocity is 8.0 m/s along the X-axis. Find the velocity and the position of the particle at t=4.0 s.

A particle is moving in a straight line under constant acceleration of 4 m//s^(2) . If its velocity at t=0 is 10 m//s, the displacement of particle in the 5^(th) second of its motion is

A particle starts with a velocity of 2m//s and moves in a straight line with a retardation of 0.1m//s^(2) . The time that it takes to describe 15m is

A particle has an initial velocity of 4hat(i)+4hat(j) m//s and an acceleration of -0.4 hat(i) m//s^(2) at what time will its speed be 5 m//s?

Two particles , one with constant velocity 50 m//s and the other with uniform acceleration 10 m//s^(-2) . Start moving simultaneously from the same place in the same direction. They will be at a distance of 125m other after.

A particle is moving eastwards with a velocity of 5 m//s . In 10 s the velocity changes to 5 m//s nothwards. The average acceleration in this time is

A charged particle of charge 2 muC and mass 10 milligram, moving with a velocity of 1000 m//s enters a uniform electric field of strength 10^(3) N//C directed perpendicular to its direction of motion. Find the velocity and displacement of the particle after 10s .