Home
Class 12
PHYSICS
A particle is moving in xy-plane .At cer...

A particle is moving in xy-plane .At certain instant the components of its velocity and acceleration are as follows `u_(x) = 3m//s,u_(y)=4m//s,a_(x)=2m//s^(2)"and"a_(y)=1m//s^(2).` The rate of change of speed at this moment is

A

`sqrt(10) m//s^(2)`

B

`4 m//s^(2)`

C

`10 m//s^(2)`

D

`2 m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-1)|40 Videos
  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos

Similar Questions

Explore conceptually related problems

A particle is moving in a circular path. The acceleration and moment of the particle at a certain moment are a=(4 hat(i)+3hat(j))m//s^(2) and p=(8 hat(i)-6hat(j))"kg-m/s" . The motion of the particle is

A particle is travelling in a circular path of radius 4m . At a certain instant the particle is moving at 20m/s and its acceleration is at an angle of 37^(@) from the direction to the centre of the circle as seen from the particle (i) At what rate is the speed of the particle increasing? (ii) What is the magnitude of the acceleration?

Knowledge Check

  • Acceleration of a car in motion is 1.5 m s^(-2). How much is the increase in velocity in 4s?

    A
    `6 ms^(-1)`
    B
    `4 ms ^(-1)`
    C
    `4 ms ^(-1)`
    D
    `2.66 ms ^(-1)`
  • Acceleration of a car in motion is 1.5 m s^(-2). How much is the increase in velocity in 4s?

    A
    `6 ms^(-1)`
    B
    `4 ms ^(-1)`
    C
    `4 ms ^(-1)`
    D
    `2.66 ms ^(-1)`
  • Similar Questions

    Explore conceptually related problems

    Match the following A particle is projected with initial speed u-25/3 m/s as shown, here acceleration vector is given as a_(x)= 2t hat(i) m//s^(2), a_(y) = -10hat(j) m//s^(2)

    A ring rotates about z axis as shown in figure. The plane of rotation is xy. At a certain instant the acceleration of a particle P (shown in figure) on the ring is (6hat(i)-8hat(j)) m//s^(2) . Find the angular acceleration of the ring & the abgular velocity at that instant. Radius of the ring is 2m.

    A particle moves along the X-axis as x=u(t-2s)+a(t-2s)^2 .

    A particle is moving along a straight line along x-zxis with an initial velocity of 4 m//s towards positive x-axis. A constant acceleration of 1 m//s^(2) towards negative x-axis starts acting on particle at t=0 . Find velocity (in m//s ) of particle at t=2 s .

    a particle is moving in x-y-plane at 2 m//s along x-axis. 2 seconds later, its velocity is 4 m//s in a direction making 60^(@) with positive x-axis. Its average acceleration for the period of motion is:-

    A particle starts from origin at t=0 with velocity 5.0hati m//s and move in x.y plane under action of a force which produces a constant acceleration of (3.0hati+2.0hatj) m//s^(2) . (a) What is the y-coordinate of the particle at the instant its x-ccordinate is 84 m? (b) What is the speed of the particle at this time?