  Types Of Questions

## Motion In A Straight Line

- Wondering what kind of questions that can be asked in next exam? Here you go!
1
JEE Mains
MCQ type questions
The co-ordinates of a moving particle at any time are given by and . The speed to the particle at time is given by
A
B
C
D
Two particles A and B move with velocities  respectively along the x and y axis.  The initial separation between them is 'd' as shown in the figure. Find the least distance between them during their motion
A
B
C
D
Which of the following position-time graphs shows an object that speeds up at first, travels at a constant velocity for a while, and then slows down?
A
B
C
D
E
A swimmer crosses a river with minimum possible time second. And when he reaches the other end starts swimming in the direction towards the point from where he started swimming. Keeping the direction fixed the swimmer crosses the river in sec. The ratio of speed of swimmer with respect to water and the speed of river flow is:
(Assume constant speed of river & swimmer)
A
B
C
D
A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared to that in the 3rd second is:
A
33%
B
40%
C
66%
D
77%
A ball is dropped vertically from height and is bouncing elastically on the floor (see figure). Which of the following plots best depicts the acceleration of the ball as a function of time.
A
B
C
D
A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored ?
A
B
C
D
2
Blank type questions
Two particles, 1 and 2, move with constant velocities and  along two mutually perpendicular straight lines toward the intersection point . At the moment the particles were located at the distances  and  from the point . At time , the distance between the particles become the smallest. Value of will be
A motorboat going downstream overcame a raft at a point  later it turned back and after some time the raft is at a distance  from the point . Find the flow velocity in assuming the duty of the engine to be constant.
Three points are located at the vertices of an equilateral triangle whose side equals . They all start moving simultaneously with velocity  constant in modulus, with the first point heading continually for the second, the second for the third, and the third for the first. The time at which the points converge is given as . Find .
3
Single Correct
A man wants to reach from A to the opposite corner of the square C (Fig) . The sides of the square are 100 m. A central square of 50m is filled with sand. Outside this square, he can walk at a speed 1 m/s. In the central square, he can walk only at a speed of v m/s (v < 1). What is smallest value of v for which he can reach faster via a straight path through the sand than any path in the square outside the sand?

A
0.18
B
0.87
C
0.81
D
0.95
Starting from rest a particle moves in a straight line with acceleration

The velocity of particle at t = 7s is:
A
11 m/s
B
22 m/s
C
33 m/s
D
44 m/s
A driver takes to apply the brakes after he sees a need for it. This is called the reaction time of the driver. If he is driving a car at a speed of and the brakes causes a deceleration of , find the distance traveled by the car after he sees the need to put the brakes on.
A
B
C
D
4
Multiple Correct
A particle moves along a straight line and its velocity depends on time as Here is in m/sec and is in seconds. Then for the first seconds:
This question has multiple correct options
A
Magnitude of average velocity is
B
Average speed is
C
Average speed is
D
Average acceleration is
The velocity-time graph of a body is shown in figure.
This question has multiple correct options
A
The ratio of the average velocities during the intervals and is 1.
B
The ratio of the  during the intervals and is .
C
The ratio of the average accelerations during the intervals and is same as distance covered.
D
The ratio of the distance covered during the intervals and is .
5
Numerical Type I
From point located on a highway (shown in figure above) one has to get by car as soon as possible to point located in the field at a distance  from the highway. It is known that the car moves in the field  times slower than on the highway. At a distance from point  one must turn off the highway. Find .
A street car moves rectilinearly from station (here car stops) to next station (here also car stops) with an acceleration varying according to the law , where and are positive constants and is the distance from station . If the maximum distance between the two stations is then find .
A particle is thrown vertically upward with a speed of 100 m/s . What is distance of particle travelled in 15 sec ?
6
Numerical Type II
A hunter is at units. He observes two preys at units and respectively. At zero instant he starts moving in the plane of their positions with uniform speed of in a direction perpendicular to line till he sees and collinear at time . Time is
A
B
C
D
A car leaves regularly from point for point  every . The distance between  and  is . The car travel at a speed for . Find the number of cars that a man driving from  to  will meet enroute if he starts from  simultaneously with one of the cars leaving . The car from B travels at a speed of .
7
Matrix Match Type
graph for rectilinear motion is given as shown in the figure. Matched the column on the basic of the graph.
List 1The magnitude of average velocity from to Magnitude of acceleration at Magnitude of acceleration at Speed at
List 2Same for , and Maximum for Minimum for Maximum for
Study the following v-t graphs in column I carefully and match appropriately with the statements given in Column II. Assume that motion takes place from time 0 to T.
List 1    List 2Net displacement is positive, but not zeroNet displacement is negative, but not zeroParticle returns to its initial position againAcceleration is positive
8
Assertion Reason Type
Assertion
A person seated in a moving train is a rest with respect to another train moving in the opposite direction.
Reason
If the train covers equal displacement in equal intervals of time then it moves with uniform acceleration.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C
Assertion is correct but Reason is incorrect
D
Both Assertion and Reason are incorrect
9
Passage Type
when and where the ball will meet the elevator.