Home
Class 11
PHYSICS
The displacement (in metre) of a particl...

The displacement (in metre) of a particle moving along x-axis is given by `x=18t +5t^(2).` Calculate (i) the instantaneous velocity `t=2 s` (ii) average velocity between `t=2 s` to `t=3 s` (iii) instantaneous acceleration.

Text Solution

AI Generated Solution

Let's solve the given problem step by step. ### Given: The displacement \( x \) of a particle moving along the x-axis is given by: \[ x = 18t + 5t^2 \] ### (i) Instantaneous Velocity at \( t = 2 \) seconds ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 1 SolvedExamples|17 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 SolvedExamples|31 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

The displacement (in metre) of a particle moving along x-axis is given by x=18t+5t^2.Calculate (i) the instantaneous velocity at t=2s.

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

Knowledge Check

  • The displacement (in metre) of a particle moving along X-axis is given by x=18t+5t^(2) . The average acceleration during the interval t_(1)=2s and t_(2)=4s is

    A
    `13 ms^(-2)`
    B
    `10 ms^(-2)`
    C
    `27 ms^(-2)`
    D
    `37 ms^(-2)`

    • Similar Questions

    Explore conceptually related problems

    The displacement x of an object is given as a function of time x=2t+3t^(2) Calculate the instantaneous velocity of the object at t = 2 s

    The displacement of a particle along the x-axis is given by x=3+8t+7t^2 . Obtain its velocity and acceleration at t=2s .

    The distance traversed by a particle moving along a straight line is given by x = 180 t + 50 t^(2) metre. Find the velocity at the end of 4s.

    The displacement s of an object is given as a function of time t s=5t^(2)+9t Calculate the instantaneous velocity of object at t = 0.

    The displacement 's' of a moving particle at a time H is given by s=5+20t-2t^(2) .Calculate its acceleration when the velocity is zero.

    The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

    The displacement of a particle moving along a straight line is given by s=3t^(3)+2t^(2)-10t. find initial velocity and acceleration of particle.

    Home
    Profile