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At time t the position vector of a parti...

At time t the position vector of a particle of mass `m=3kg` is given by `vecr=6thati-t^(3)hatj+costhatk`. Find the resultant force `vecF(t)`, magnitude of its acceleration when `t=(pi)/(2)`., speed when t=`pi`.

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`-18thatj-3costhatk,3pi,3sqrt(3+pi^(4))`.
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MOTION-KINEMATICS-EXERCISE 3 SUBJECTIVE PROBLEMS (Level-1)
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  2. A particle moves along the space curve vec(r)=(t^(2)+t)hat(i)+(3t-2)ha...

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  3. At time t the position vector of a particle of mass m=3kg is given by ...

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  4. Velocity of car v is given by v = at – bt^2 , where a and b are positi...

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  5. A stone is dropped from a height h. Simultaneously another stone is th...

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  6. A ballon is ascending vertically with an acceleration fo 0.2m//s^(2). ...

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  7. The velocity time graph of a body moving in a straight line is shown. ...

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  8. The velocity- time graph of the particle moving along a straight line ...

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  9. The force acting on a body moving in a straight line is given by F = (...

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  10. A particle moves in xy plane such that v(x)=50-16 t and y=100-4t^(2) w...

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  11. A particle is projected in the X-Y plane. 2 sec after projection the v...

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  12. A particle is projected upwards with a velocity of 100 m//s at an angl...

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  13. A particle is projected in x-y plane with y-axis along vertical, the p...

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  14. A rocket is launched at an angle 53^(@) to the horizontal with an init...

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  15. Two particles are moving along two long straight lines, in the same pl...

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  16. A butterfly is flying with velocity 10hati +12hatj m//s and wind is bl...

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  17. A man with some passengers in his boat, starts perpendicular to flow o...

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  18. A man crosses a river in a boat. If he cross the river in minimum time...

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  19. Rain is falling vertically with a speed of 20ms^(-1)., A person is run...

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  20. A glass wind screen whose inclination with the vertical can be changed...

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