EASY
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A particle moves along the x-axis according to the equation x = 6t2 where x is displacement in meters and t is time in seconds. Therefore
 1. the acceleration of the particle is 6 ms-2.
2. the particle follows a parabolic path
3. each second the velocity of the particle change by 12 ms-1.
 4. the velocity of the particle is 6 ms-1.

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Important Questions on Kinematics

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A particle has initial velocity 2i^+3j^ and acceleration 0.3i^+0.2j^. The magnitude of velocity after 10 seconds will be
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A body is projected at an angle of 60° with the horizontal such that the vertical component of its initial velocity is 40 m s-1. The magnitude of velocity of the projectile at one quarter of its time of flight is nearly (Acceleration due to gravity =10 m s-2)
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A body is projected horizontally from the top of a tower of height 180 m with a velocity of 20 ms-1. If acceleration due to gravity is 10 ms-2 then match the following.
List-I List-II
(A) Velocity of the body after 1 second (in ms-1)  (I) 5
(B) Horizontal displacement of the body after 1 second (in meters) (ii) 20
(C) Vertical displacement of the body after 1 second (in meters) (iii) 10
(D) Vertical velocity of the body after 1 second (in ms-1) (iv) 22.4

The correct answer is

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Two guns A and B can fire bullets at speeds 1 km s-1 and 2 km s-1 respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is:
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At what angle θ to the horizontal should an object is projected so that the maximum height reached is equal to the horizontal range?
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A projectile is fired at an angle of 45° and reaches the highest point in its path after 22 s. Find the velocity of projectile in m/s.
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Two towers A and B, each of height 20 m are situated a distance 200 m apart. A body thrown horizontally from the top of the tower A with a velocity 20 ms-1 towards the tower B hits the ground at point P and another body thrown horizontally from the top of tower B with a velocity 30 ms-1 towards the tower A hits the ground at point Q. If a car starting from rest from P reaches Q in 10 seconds, the acceleration of the car is _________ (Acceleration due to gravity =10 ms-2)
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At t=0, a particle starts moving from the origin with the velocity, 5.01 m s-1, it moves in x-y plane due to a force having a constant acceleration of 2.0i^+3.0j^ m s-2. Find the coordinate of the particle at t=6 s.
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A projectile is given an initial velocity of i^+2j^ m s-1, where i ^ is along the ground and j ^ is along the vertically upward direction. If g=10 m s-2, the equation of its trajectory is :
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The velocity of a projectile at the initial point A is 2i^-3j^ m s-1. Its velocity (in m s-1) at point B is

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The trajectory of projectile is
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A person walks 25° north of east for 3.18 km. How far would she have to walk due north and then due east to arrive at the same location?
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A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :
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Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?
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A projectile is thrown at a speed which is twice its speed at its maximum height. If R and H are its range and maximum height respectively then the ratio RH is
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Two bullets are fired horizontally with different velocities from the same height. Which one will reach the ground first?
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A particle leaves the origin with initial velocity v=3i^ m s-1 and a constant acceleration a=-1i^-0.5j^m s-2. The position vector of particle, when it reaches its maximum x-coordinate, is
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Two projectiles A and B are projected with the same initial speed. A is launched at an angle ϕ with the horizontal and B at an angle ϕ with the vertical. If A has a range R1 and B has a range R2, then
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A boy is standing on top of a tower of height, 85 m and throws a ball in the vertically upward direction with a certain speed. If 5.25 s later he hears the ball hitting the ground, then the speed with which the boy threw the ball is (take g=10 m s-2, the speed of sound in air is 340 m s-1)
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Two bodies are projected at angles θ and 90o-θ to the horizontal with the same speed. The ratio of their times of flight is