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Position vector `r` of a particle P located in a plane with reference to the origin of an `xy`-plane as shown in the figure below is given
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Suppose a particle moves along a curve shown by the thick line and the positions of particle are represented by `P` at `t` and `P'` at `t'`.where, coordinates of P is `(4, 3) and P' is (7, 6)`. Net displacement of the particle will
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A particle moves in xy-plane from positions `(2m, 4m)` to `(6m, 8m)` is `2s`. Magnitude and direction of average velocity
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The direction of instantaneous velocity is shown
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The position of a particle is given by `r= 3t hati + 2t^2 hatj + 5hatk`, then the direction of `v (t)` at `t = 1 s`
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In three dimensional system, the position coordinates of a particle (in motion) are given below `x = a cos omega t``y = a sin omega t``z = a omega t` The velocity of particle will
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The coordinates of a moving particle at any time t are given by, `x = 2t^3 and y = 3t^3. Acceleration of the particle is given
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A particle starts from origin at `t= 0` with a velocity `5.0 hati ms^(-1)` and moves in `xy`-plane under action of force which produces a constant acceleration of `(3.0 hati + 2.0 hatj) ms^(-2)`. What is the `y`-coordinate of the particle at the instant, if `x`-coordinate is `84
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A car driver is moving towards a fired rocket with a velocity of `8hati ms^(-1)` . He observed the rocket to be moving with a speed of `10 ms^(-1)`. A stationary observer will see the rocket to be moving with a speed
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A man standing on a road has to hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at `10 kmh ^(-1)`.He finds that raindrops are hitting his head vertically. The actual speed of raindrops
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A girl can swim with speed `5 kmh ^(-1)` in still water. She crosses a river `2 km` wide, where the river flows steadily at `2 kmh^(-1)` and she makes strokes normal to the river current. Find how far down the river she go when she reaches the other
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When a ball is thrown obliquely from the ground level, then the `x`-component of the
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The motion of an object that is in flight after being projected is a result of two simultaneously occurring components of motion, which are the components
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At the top of the trajectory of a projectile, the directions of its velocity and acceleration
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A projectile is given an initial velocity of `(hati + 2hatj) ms^(-1)`, where `hati` is along the ground and `hatj` is along vertical. If `g` is `10 ms^(-2)`, then the equation of its trajectory
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The equations of motion of a projectile are given by `x= 18t and 2y = 54t - 9.8t^2`. The angle `theta` of projection
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A football player throws a ball with a velocity of `50 ms^(-1)` at an angle 30° from the horizontal. The ball remains in the air for (Take.`g = 10
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The ceiling of a hall is `30 m` high. A ball is thrown with `60 ms^(-1)` at an angle `theta`, so that it could reach the ceiling of the hall and come back to the ground. The angle of projection `theta` that the ball was projected is given
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Two projectiles A and B are projected with same speed at angles 30° and 60° to be horizontal then, which amongst the following relation between their range, maximum height and time of flight is
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A man can throw a stone to a maximum distance of 80 m. The maximum height to which it will rise,
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