Home
Class 11
PHYSICS
Displacement of a particle is given by t...

Displacement of a particle is given by the expression `x = 3 t ^ { 2 } + 7 t - 9`, where x is in meter and t is in seconds. What is acceleration ?

A

10m/s²

B

15m/s²

C

8m/s²

D

6m/s²

Text Solution

Verified by Experts

The correct Answer is:
4
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    SURA PUBLICATION|Exercise LONG ANSWER QUESTIONS:|9 Videos

  • KINEMATICS

    SURA PUBLICATION|Exercise Numerical Problems|23 Videos

  • KINEMATICS

    SURA PUBLICATION|Exercise VERY SHORT ANSWER QUESTIONS:|56 Videos

  • HEAT AND THERMODYNAMICS

    SURA PUBLICATION|Exercise Value Based Question|1 Videos

  • KINETIC THEORY OF GASES

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|4 Videos

Similar Questions

Explore conceptually related problems

lf x = a + bt + ct^(2) , where x is in metre and t in seconds, what is the unit of c?

The x and y coordination of the particle at any time are x=5t - 2t^2 and y =10 t respectively , where x and y are in metres and t in seconds . The acceleration of the particle at t=2s is:

Knowledge Check

  • Displacement (y) of the particle is given by: y = 2 t + t ^ { 2 } - 2 t ^ { 3 } . Then, the velocity of the particle when acceleration is zero is

    A
    `\frac { 5 } { 2 }`
    B
    `\frac { 9 } { 4 }`
    C
    `\frac { 13 } { 6 }`
    D
    `\frac { 17 } { 8 }`

  • The equation of a simple harmonic wave is given y= 5 sin (pi/2(100t -x)) , where x and y are in meter and time is in seconds. The period of the wave in second will be

    A
    0.04
    B
    0.01
    C
    1
    D
    5

  • A wave travels in a medium according to the equation of displacement given by y (x , t) = 0.03 sin {pi (2t - 0.01 x)} where y and x are in metres and t in seconds . The wavelength of the wave is ………. .

    A
    200 m
    B
    100 m
    C
    20 m
    D
    10 m

    • Similar Questions

    Explore conceptually related problems

    The position x of a particle with respect to time t along x is in given by x =9t^2-t^3 where x is in meters and t in second. What will be the position of this particle when it achieves maximum speed along the "+x directions?

    For particle in SHM, the displacement x of the particle as a function o time t is given as x=A sin (2pi t) . Here x is in cm and t is in second. Let the time taken by the particle to travel from x=0 to x=(A)/(2) be t_(1) and the time taken to travel from x=(A)/(2) to x=A be t_(2) find (t_(1))/(t_(2))

    For particle in SHM, the displacement x of the particle as a function o time t is given as x=A sin (2pi t) . Here x is in cm and t is in second. Let the time taken by the particle to travel from x=0 to x=(A)/(2) be t_(1) and the time taken to travel from x=(A)/(2) to x=A be t_(2) find (t_(1))/(t_(2))

    The equation of motion of a particle started at t=0 is given by x=5sin(20t+pi/3) , where x is in centimetre and t in second. When does the particle a. first come rest b. first have zero acceleration c. first have maximum speed?

    A particle moves along a horizontal line such that its position at any time t is given by s(t) = t^(3) - 6t^(2) + 9t + 1 , s in meters and t in seconds. At what time the particle is at rest?

    Home
    Profile