Home
Class 12
PHYSICS
Starting from origin at t=0, with initia...

Starting from origin at t=0, with initial velocity `5 hat(j) m//s`, a particle moves in the `x-y` plane with a constant acceleration of `(10 hat(i) - 5hat(j))m//s^(2)`. Find the coordinates of the particle at the moment its y-coordinate is maximum.

A

(5m, 5m)

B

(2.5m, 2.5m)

C

(5m, 2.5m)

D

(2.5m, 5m)

Text Solution

Verified by Experts

The correct Answer is:
C
y-coordinate is maximum When `v_(y) = 0`
`y_(y) = u_(y) + a_(y) t rArr 0= 5- 5t rArr t= 1`
`x= u_(x) t + (1)/(2) a_(x) t^(2) = 0 + (1)/(2) (10) (1)= 5`
`y= u_(y) t + (1)/(2) a_(y) t^(2) = 5(1) + (1)/(2) (-5) (1) = 2.5`
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

A particle starts from the origin at t=0 with a velocity of 10.0 hat j m//s and moves in the X-y plane with a constant accleration of ( 8.0 hat I + 2. 0 hat j ) ms^(-2) . (a) At wht time is the s-coordinate of the particle 16 m ? What is the y-coordinate of the particle at that time ? ( b) What is the speed of the particle at that time ?

A particle starts from the origin at t= 0 with a velocity of 8.0 hat j m//s and moves in the x-y plane with a constant acceleration of (4.0 hat i + 2.0 hat j) m//s^2. At the instant the particle's x-coordinate is 29 m, what are (a) its y-coordinate and (b) its speed ?

Knowledge Check

  • Starting from the origin at time t = 0 , with initial velocity 5hatj "ms"^(-1) , a particle moves in the x - y plane with a constant acceleration of (10hati+4hatj)ms^(-2) . At time t , its coordinates are (20 m,y_0 m) . The value of t and y_0 are , respectively :

    A
    2 s and 18 m
    B
    5 s and 25 m
    C
    2 s and 24 m
    D
    4 s and 52 m

  • A particle moves in x-y plane according to the equation bar(r ) = (hat(i) + 2hat(j)) A cos omega t . The motion of the particle is

    A
    on a straight line
    B
    on an ellipse
    C
    periodic
    D
    simple harmonic

  • A particle moves in x-y plane according to the equation bar(r ) = (hat(i) + 2 hat(j)) A cos omega t the motion of the particle is

    A
    on a straight line with a constant speed
    B
    on an ellipse
    C
    periodic not SHM
    D
    simple harmonic

    • Similar Questions

    Explore conceptually related problems

    Starting from the origin at time t=0 ,with initial velocity [5hat jms^(-1) ,a particle moves in the x -y plane with a constant acceleration of ( 10ˆi+4ˆj)m/s 2 ms^(-2).At time t ,its coordinates are (20m,y_(0)m are,respectively:

    A paarticle starts from origin at t=0 with a vction 5.0 hat I m//s and moves in x-y plane under action of a force which produces a constant acceleration of ( 3.0 hat I + 2.0 ht j) m//s^(2) . (a) What is the y-cordinate of the particle at the instant its x-coordinate id 84 m ? (b) What is the speed of the particle at this time?

    A particle starts moving with velocity "vecV=hat i(m/s)", and acceleration "vec a=(hat i+hat j)(m/s^(2))".Find the radius of curvature of the particle at "t=1sec".

    A particle moves with a tangential acceleration a_(t)=vec(a).hat(v) where vec(a)=(5hat(i)) m//s^(2) . If the speed of the particle is zero at x=0 , then find v (in m//s ) at x=4.9 m .

    A particle leaves the origin with initial velocity vec(v)_(0)=11hat(i)+14 hat(j) m//s . It undergoes a constant acceleration given by vec(a)=-22/5 hat(i)+2/15 hat(j) m//s^(2) . When does the particle cross the y-axis ?

    Home
    Profile