The displacement of a particle starting ...

The displacement of a particle starting from (at t = 0) is given by `s=6t^(2)-t^(3)`. The time in seconds at which the particle will attain zero velocity again is

12s

16s

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MOTION IN A PALNE
ALLEN|Exercise EXERCISE-3|40 Videos
MOTION IN A PALNE
ALLEN|Exercise SOLVED EXAMPLE|28 Videos
MOTION IN A PALNE
ALLEN|Exercise EXERCISE-1|99 Videos
KINEMATICS-2D
ALLEN|Exercise Exercise (O-2)|46 Videos
NEWTON'S LAWS OF MOTION & FRICTION
ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle starting from rest (at t = 0) is given by s = 6t^(2) - t^(3) . The time in seconds at which the particle will attain zero velocity again, is

The velocity of a particle is zero at t=0

The displacement of a particle is given by y=(6t^2+3t+4)m , where t is in seconds. Calculate the instantaneous speed of the particle.

The position of a particle as a function of time t, is given by x(t)=at+bt^(2)-ct^(3) where a,b and c are constants. When the particle attains zero acceleration, then its velocity will be :

The displacement of a particle moving along the x-axis is given by equation x=2t^(3)-21"t"^(2)+60t+6 .The possible acceleration of the particle when its velocity is zero is

The displacement x of a particle moving along x-axis at time t is given by x^2 =2t^2 + 6t . The velocity at any time t is

The distances moved by a particle in time t seconds is given by s=t^(3)-6t^(2)-15t+12 . The velocity of the particle when acceleration becomes zero, is

The velocity of a particle is zero at time t = 2s, then

The speed(v) of a particle moving along a straight line is given by v=(t^(2)+3t-4 where v is in m/s and t in seconds. Find time t at which the particle will momentarily come to rest.

If the equation for the displacement of a particle moving in a circular path is given by (theta)=2t^(3)+0.5 , where theta is in radians and t in seconds, then the angular velocity of particle after 2 s from its start is

ALLEN-MOTION IN A PALNE-EXERCISE-2

The position x of a particle varies with time t as x=at^(2)-bt^(3). Th...
Text Solution
|
A particle moves along a straight line such that its displacement at a...
Text Solution
|
The displacement of a particle starting from (at t = 0) is given by s=...
Text Solution
|
The x and y-coordinates of a particle at any time t are given by x=7t+...
Text Solution
|
With what speed should a body be thrwn upwards so that the distances t...
Text Solution
|
The velocity of body is given as v = 20 + 0.1 t^2. The body is undergo...
Text Solution
|
The displacement of a particle is given by y = a + bt + ct^(2) – dt^(4...
Text Solution
|
An athelete completes one round of a circular track of radius R in 40 ...
Text Solution
|
The displacement-time graph of a moving particle is as shown in the fi...
Text Solution
|
A scooter going due east at 10 ms^(-1) turns right through an angle of...
Text Solution
|
A body is imparted motion from rest to move in a straight line. If it ...
Text Solution
|
A car covers the first half of the distance between two places at a sp...
Text Solution
|
A particle is moing with a velocity of 10m//s towards east. After 10s ...
Text Solution
|
Which of the following four statements is false
Text Solution
|
A car is moving on a straight road covers one third of the distance wi...
Text Solution
|
Figure below shows the velocity-time graph of a one dimensional motion...
Text Solution
|
If a car at rest, accelerates uniformly to a speed of 144 km//h in 20s...
Text Solution
|
A body starts from rest, what is the ratio of the distance travelled b...
Text Solution
|
The intial velocity of a particle is u (at t=0) and the acceleration i...
Text Solution
|
If a body starts from rest and travels 120 cm in the 6th second, then ...
Text Solution
|