Questions in Motion in A Straight Line

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A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is
The position of a particle moving in the xy-plane at any time \[t\] is given by \[x = (3{t^2} - 6t)\] metres, \[y = ({t^2} - 2t)\] metres. Select the correct statement about the moving particle from the following
If body having initial velocity zero is moving with uniform acceleration \[8\,\,m/{\sec ^2}\] the distance travelled by it in fifth second will be
An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is
Two cars \[A\] and \[B\] are travelling in the same direction with velocities \[{{v}_{1}}\] and \[{{v}_{2}}\]\[({{v}_{1}}>{{v}_{2}})\]. When the car \[A\] is at a distance \[d\] ahead of the car \[B\], the driver of the car \[A\] applied the brake producing a uniform retardation \[a\] There will be no collision when
A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is
A body starts from rest from the origin with an acceleration of \[6\,m/{s^2}\] along the x-axis and \[8\,m/{s^2}\] along the y-axis. Its distance from the origin after 4 seconds will be
A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can be stopped by this force in
The displacement of a particle is given by \[y = a + bt + c{t^2} - d{t^4}\]. The initial velocity and acceleration are respectively
A car moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance

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