NEET Physics Motion in a Plane with Constant Acceleration and Projectile Motion MCQs Set 01

Question.  A particle moves in the X-Y plane with a constant acceleration 1.5 m/s² in the direction making an angle of 37° with the X-axis. At t = 0 the particle is at the origin and its velocity is 8.0 m/s along the X-axis. Find the position of the particle at t = 4.0 s.
(a) (41.6m, 7.2 m)
(b) (60.2 m, 8.2 m)
(c) (50.3 m, 8.2 m)
(d) (11.2 m, 8 m)

Answer: A

Question.  The coordinates of a particle moving in x–y plane at any instant of time t are x = 4t²; y = 3t². The speed of the particle at that instant is
(a) 10 t
(b) 5 t
(c) 3 t
(d) 2 t

Answer: A

Question.  For motion in two or three dimensions, the angle between velocity and acceleration is
(a) Any angle between 0° & 180°
(b) 180°
(c) 90°
(d) 0°

Answer: B

Question.  A particle moves in a plane with a constant acceleration in a direction different from the initial velocity. The path of the particle is a/an
(a) parabola
(b) straight line
(c) arc of a circle
(d) ellipse

Answer: A

Question. The shape of trajectory of the motion of an object is determined by
(a) All of these
(b) initial position
(c) acceleration
(d) initial velocity

Answer: A

Question. If t_m is the time taken by a projectile to achieve the maximum height, then the total time of flight T_f related to t_m as
(a) T_f = 2t_m
(b) t_m = 2 T_f
(c) None of these
(d) Both

Answer: A

Question.  In the projectile motion, if air resistance is ignored, the horizontal motion is at
(a) constant velocity
(b) constant retardation
(c) constant acceleration
(d) variable acceleration

Answer: A

Question. A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground
(a) simultaneously
(b) one after the other
(c) depends on the observer
(d) None of these

Answer: A

Question. The time of flight of a projectile on an upward inclined plane depends upon
(a) all of the above.
(b) the value of acceleration due to gravity
(c) angle of projection
(d) angle of inclination of the plane

Answer: A

Question. At the highest point on the trajectory of a projectile, its
(a) velocity is minimum
(b) acceleration is maximum
(c) velocity is maximum
(d) acceleration is minimum

Answer: A

Question.  At the top of the trajectory of a projectile, the acceleration is
(a) constant (g)
(b) minimum
(c) maximum
(d) zero

Answer: A

Question.  A body is projected from the ground with a velocity 50 m/s at an angle of 30°. It crosses a wall after 3 sec. How far beyond the wall the stone will strike the ground? [take g = 10 m/s²]
(a) 86.6 m
(b) 100.1 m
(c) 96.2 m
(d) 111.1 m

Answer: A

Question.  A body is projected horizontally with velocity 3 m/s from a height 5m. It’s horizontal range is
(a) 3 m
(b) 5 m
(c) 10 m
(d) 12 m

Answer: A

Question. Two bullets are fired horizontally with different velocities from the same height. Which will reach the ground first?
(a) Both will reach simultaneously
(b) It cannot be predicted
(c) Faster one
(d) Slower one

Answer: A

Question.  A body is thrown with a velocity of 9.8 ms^–1 making an angle of 30º with the horizontal. It will hit the ground after a time
(a) 1 s
(b) 1.5 s
(c) 2.0 s
(d) 3.0 s

Answer: A

Question. The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?
(a) 4 %
(b) 8 %
(c) 2 %
(d) 1%

Answer: A

Question.  A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s², the range of the missile is
(a) 40 m
(b) 50 m
(c) 60 m
(d) 20 m

Answer: A

Question. A body projected at an angle with the horizontal has a range 300 m. If the time of flight is 6 s, then the horizontal component of velocity is
(a) 50 m s^–1
(b) 45 m s^–1
(c) 30 m s^–1
(d) 40 m s^–1

Answer: A

Question.  The greatest range of a particle, projected with a given velocity on an inclined plane, is x times the greatest vertical altitude above the inclined plane. Find the value of x.
(a) 4
(b) 3
(c) 1/2
(d) 2

Answer: A

Question.  The range of a projectile is R when the angle of projection is 40°. For the same velocity of projection and range, the other possible angle of projection is
(a) 50°
(b) 60°
(c) 40°
(d) 45°

Answer: A

Question.  If the angles of projection of a projectile with same initial velocity exceed or fall short of 45° by equal amounts , then the ratio of horizontal ranges is
(a) 1 : 1
(b) 1 : 4
(c) 1 : 3
(d) 1 : 2

Answer: A

Question.  A plane flying horizontally at a height of 1500 m with a velocity of 200 ms^–1 passes directly overhead on antiaircraft gun. Then the angle with the horizontal at which the gun should be fired from the shell with a muzzle velocity of 400 ms^–1 to hit the plane, is 
(a) 60°
(b) 30°
(c) 45°
(d) 90°

Answer: A

Question.  A stone is just released from the window of a moving train moving along a horizontal straight track. The stone will hit the ground following a
(a) parabolic path
(b) straight line path
(c) circular path
(d) hyperbolic path

Answer: A

Question. A ball is thrown from rear end of the compartment of train to the front end which is moving at a constant horizontal velocity. An observer A sitting in the compartment and another observer B standing on the ground draw the trajectory. They will have
(a) equal vertical ranges but different horizontal ranges
(b) different vertical ranges but equal horizontal ranges
(c) different vertical and different horizontal ranges
(d) equal horizontal and equal vertical ranges

Answer: A

Question. A bullet is fired with a speed of 1500 m/s in order to hit a target 100 m away. If g = 10 m/s². The gun should be aimed
(a) 2.2 cm above the target
(b) directly towards the target
(c) 10 cm above the target
(d) 15 cm above the target

Answer: A

Question. A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 ms^–1. Then the time after which its inclination with the horizontal is 45°, is
(a) 5.49 s
(b) 2.745 s
(c) 10.98 s
(d) 15 s

Answer: A

Question.  Two bullets are fired horizontally with different velocities from the same height. Which will reach the ground first?
(a) Both will reach simultaneously
(b) It cannot be predicted
(c) Faster one
(d) None of these

Answer: A