# JEE Level Projectile motion problems

1. Here are Multiple Choice Questions(More than one correct) for JEE Level Projectile motion problems with detailed solution.
2. Recommended way is to solve them on your own and then check solutions for correctness

Question 1
Consider the figure given below

1. Acceleration is positive during A to C and negative during C to B
2. Acceleration is maximum at C
3. Velocity is maximum at C
4. Average acceleration is zero during the journey

Question 2
Which one of the following statement(s) is true?
1. A body moving with uniform speed can have variable velocity
2. A body moving with uniform velocity can have variable speed
3. Average velocity is always equal to instantaneous velocity
4. x-t graph can be a straight line parallel to position axis

Question 3
A ball is projected upward at a certain angle with the horizontal .which of the following statement is/are correct. At highest point
a. velocity of the projectile is not zero
b. acceleration of the projectile is zero
c. velocity of the projectile is along the horizontal direction
d. Acceleration of the projectile is vertically upwards

Question 4
Which one of the following statement is correct?
a. A body has constant speed but varying velocity
b. A body has constant speed but varying acceleration
c. A body having constant speed cannot have acceleration
d. None of the above

Question 5
Which of the following remains constant during the motion of the projectile fired from a planet,
a. KE
b. Momentum
c. Vertical component of the velocity
d. Horizontal component of the velocity

Question 6
Which one is wrong for a body having uniform circular motion?
a. Speed of the body is constant
b. Acceleration is directed towards the centre
c. Velocity and Acceleration vector are having an angle 45
d. none of the above

Question 7
A body moves along a semicircular track of Radius R. Which of the following statement is true
a. Displacement of the body is 2R
b. Distance travelled by the body is πR
c. Displacement of the body is πR
d. none of the above

Question 8
Which of the following is false
a. The speed of the particle at any instant is given by the slope of the displacement-time graph
b. The distance moved by the particle in a time interval from t1 to t2 is given by the area under the velocity -time graph during that time interval
c. Magnitude of the acceleration of the particle at any instant is given by the slope of the velocity time graph
d. none of the above

Question 9
A particle is going moving along x-axis. Which of the following statement is false
a. At time t1 (dx/dt)t=t1=0,then (d2x/dt2)t=t1=0
b. At time t1 (dx/dt)t=t1 < 0 then the particle is directed towards origin
c. If the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval.
d. At time t1 (d2x/dt2)t=t1 < 0 then the particle is directed towards origin

Question 10
A particle starts at time t=0 from x=0 along the positive x-axis with constant speed v .After time t,it return back towards the origin with the speed 2v and reaches the origin in t/2 sec .Which of the following is true for the whole process
a. Average velocity is zero for the whole process
b. Average speed is 4/3v for the whole process
c. Displacement at time t is equal to vt d. Displacement at time 3t/2 is 2vt

Question 11
The range of the projectile depends upon
a. Angle of the projection
b. Acceleration due to gravity
c. Mass of the projectile
d. magnitude of the velocity of projection

Question 12
Two bullets A and B are fired horizontally with speed v and 2v respectively. Which of the following is true a. Both will reach the ground in same time
b. Bullet with speed 2v will cover more horizontal distance on the ground
c. B will reach the ground in less time than A
d. A will reach the ground in less time than B

Question 13
A body is projected horizontally from a point above the ground.The motion of body is defined as
x=2t
y=2t2
where x and y are horizontal and vertical displacement respectivley at time t.Which one of the following is true
a. The trajectory of the body is a parabola
b. The trajectory of the body is a straight line
c. the velocity vector at point t is 2i+4tj
d. the acceleration vector at time t is 4j

Question 14
A car, starting from rest is accelerated at constant rate a until it attains speed v. It is then retarded at a constant rate b until it comes to rest. which of the following is true
a. the average speed for the whole motion is av/2b
b. the average speed for the whole motion is v/2
c. Total time taken for the journey is v(1/a+1/b)
d. none of the above

Question 15
The initial velocity of the particle is u=4i+3j m/s. It is moving with uniform acceleration a=.4i+.3j m/s2.which of the following is true
a. the magnitude of the velocity after 10 sec is 10m/s
b. The velocity vector at time t is given by (4+.4t)i +(3+.3t)j
c. the displacement at time t is (4t+.22)i +(3t+.152)j
d . None of the above