Home
Class 12
PHYSICS
Suppose velocity of a cricket ball hit b...

Suppose velocity of a cricket ball hit by a batsman is given by
`vec(v) = (2hati +6hatj + (@0-10t)hatk)m//s`
Find the time (t) the acceleration of the ball is perpendicular to its velocity.

A

1s

B

2s

C

3s

D

4s

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The velocity of an object is given by vecv = ( 6 t^(3) hati + t^(2) hatj) m//s) . Find the acceleration at t = 2s.

The position of an object is given by vecr= ( 9 thati + 4t^(3)hatj) m. find its velocity at time t= 1s.

Knowledge Check

  • The position vector of a particle at time t is given by vecr=2t hati+5t hatj+4sin omegat hatk where omega is a constant.Answer the following questions Velocity vector is perpendicular to …….vector

    A
    `2hati+4hatj`
    B
    `3hati+2hatj`
    C
    `5hati-2hatj`
    D
    None

  • The position vector of a aprticle is given as vecr=(t^2-4t+6)hati+(t^2)hatj . The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to

    A
    1 sec
    B
    2 sec
    C
    1.5 sec
    D
    not possible

  • An object has velocity vec v = (i+2hatj+3hatk)m//s . A constant acceleration of the object for which its speed starts decreasing is:

    A
    `vec a= 2hatj+hatk`
    B
    `veca = 7hati-6hatj-hatk`
    C
    `veca = 7hati+hatj-hatk`
    D
    `veca = 3hati-4hatj+2hatk`

    • Similar Questions

    Explore conceptually related problems

    The velocity of a body of mass 2 kg as a function of t is given by upsilon(t) = 2t hati + t^(2) hatj Find the momentum and force acting on it at time t = 2 s .

    The position vector of a particle is given by vecr=(2 sin 2t)hati+(3+ cos 2t)hatj+(8t)hatk . Determine its velocity and acceleration at t=pi//3 .

    The velocity vector of a body is given by vec(v)=2hati+(3-6t)hatj m//s . At the initial moment the body is at origin. Find x-coordinate (in m) at the time when its y-coordinate is maximum.

    The position of a particle is given by vec r =(8 t hati +3t^(2) hatj +5 hatk) m where t is measured in second and vec r in meter. Calculate, direction of the velocity at t = 1 s

    The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.

    Home
    Profile