Home
Class 11
PHYSICS
The relation between displacement & time...

The relation between displacement & time is given by — y = `-(2/3) t^2 + 16t + 2`. After how many seconds the body will be at rest?

A

10 s

B

120 s

C

12 s

D

25 s

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The relation between displacement & time of a body is S = (2t^3- 4t^2 + 3t) unit What will be the acceleration after 3s?

A particle moves along X-axis and its displacement at any time is given by x(t) = 2t^(3) -3t^(2) + 4t in SI units. The velocity of the particle when its acceleration is zero, is

Knowledge Check

  • The relation between velocity and time of body is given v=A+B/t+Ct^2 the units of A, B and will be

    A
    A(m)
    B(m/s)
    C`(m//s^2)`
    B
    A(m/s)
    B(m)
    C`(m//s^3)`
    C
    A`(m//s^2)`
    B`(m//s^3)`
    C`(m//s^4)`
    D
    A(m/s)
    B`(m//s^2)`
    `C(m//s^3)`

  • Given that the displacement of a particle is given by x=Asin^2 Kt, where t denotes the time. The unit of K is

    A
    hertz
    B
    metre
    C
    radian
    D
    second

    • Similar Questions

    Explore conceptually related problems

    The distance covered by a particle in t seconds is given by x=3+8t-4t^(2) . After 1 second its velocity will be

    A body of mass 6 kg is acted upon by a force which causes a displacement in it given by x = t^2/4 meter, where t is the time in second. The work done by the force in 2 seconds is

    The equation of displacement for a body at time t is given by x = alphat^3 + betat^2 + gammat + delta . It’s depend upon--

    If the distance from the initial point at a time t is given by x = t - 6t^2 + t^3 : then at what time the acceleration will be zero?

    The relation between the time taken and the displacement of a moving body is s = 2t - 3t^(2) + 4t^(3) , where the unit of s is in metre and that of t is in second. Find out the displacement, velocity and acceleration of the body 2s after initiation of the journey.

    The relation between the displaement x and the time t for a body of mass 2 kg moving under the action of a force is given by x=t^3//3 , where x is in metre and t in second . Calculate the work done by the body in the first 2 seconds .

    Home
    Profile