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Test: JEE Previous Year Questions- Motion in a Straight Line - JEE MCQ


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9 Questions MCQ Test Chapter-wise Tests for JEE Main & Advanced - Test: JEE Previous Year Questions- Motion in a Straight Line

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Test: JEE Previous Year Questions- Motion in a Straight Line - Question 1

In 1.0 sec. a particle goes from point A to point B moving in a semicircle of radius 1.0 m. The magnitude of average velocity is -

          

[JEE `99]

Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 1

Total displacement occurred = 2m
Total time time taken = 2sec
Thus average velocity = 2m/s

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 2

A ball is dropped vertically from a height d above the ground it hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistances, its velocity v varies with the height h above the ground as -  

 [JEE' 2000 (Scr)]

Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 2

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Test: JEE Previous Year Questions- Motion in a Straight Line - Question 3

 An object A is kept fixed at the point x = 3 m and y = 1.25 m on a plank P raised above the ground. At time t = 0 the plank starts moving along the +x direction with an acceleration 1.5 m/s2. At the same instant a stone is projected from the origin with a velocity u as shown. A stationary person on the ground observes the stone hitting the object during its downward motion at an angle of 45° to the horizontal. All the motions are in x-y plane. Find u and the time after which the stone hits the object. Take g = 10 m/s

   

[JEE 2000]


Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 3

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 4

On a frictionless horizontal surface, assumed to be the x-y plane, a small trolley A is moving along a straight line parallel to the y-axis (see figure) with a constant velocity of  m/s. At a particular instant, when the line OA makes an angle of 45° with the x-axis, a ball is thrown along the surface from the origin O. Its velocity makes an angle f with the x-axis and it hits the trolley.

 

 

(a) The motion of the ball is observed from the frame of trolley. Calculate the angle q made by the velocity vector of the ball with the x-axis in this frame.

(b) Find the speed of the ball with respect to the surface, if f = .                          

[JEE 2002]


Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 4

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 5

A particle starts from rest. Its acceleration (a) varsus time (t) is as shown in the figure. The maximum speed of the particle will be -    [JEE' 2004 (Scr)]

                       

Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 5

We know that v is the integral of acceleration wrt time and thus we can say graphically velocity is equal to the area under the acceleration-time graph. Also if we extend the graph the curve would go in a negative zone resulting in producing a negative area under the curve and hence decreasing the magnitude of speed. Hence the maximum speed is achieved when a gets 0. Thus maximum speed is ½ x 10 x 11 = 55m/s

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 6

A small block slides without friction down an inclined plane starting from rest. Let Sn be the distance travelled from time t = n-1 to t = n. Then Sn/Sn+1 is-    [JEE' 2004 (Scr)]

Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 6

S=ut+0.5at2= 0.5at2   (since u=0)

At t=n-1

S= 0.5a(n-1)2

At t=n

S'=0.5a(n)2

Sn= S'-S =0.5 [n2 - (n-1)2] = 0.5a (n-n+1)*(n+n-1)

Sn= 0.5a*(2n-1)

put n+1 in place of n in expression of Sn

Sn+1= 0.5a (2(n+1)-1)= 0.5a (2n+1)

Sn/Sn+1 = 2n-1/2n+1

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 7

The velocity displacement graph of a particle moving along a straight line is shown. The most suitable acceleration-displacement graph will be -

                           

Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 7

but , v is decreasing with x

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 8

Statement-1

For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.

Statement-2

If the observer and the object are moving at velocities  and  respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is      [JEE' 2008]

Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 8

θ2 > θ1

Test: JEE Previous Year Questions- Motion in a Straight Line - Question 9

A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forward with a speed of 10 m/s, at an angle of 60° to the horizontal. The boy has to move forward by 1.15 m inside the train to catch the ball back at the initial height. The acceleration of the train in m/s2 is                                                                                                                                                          [JEE' 2011]


Detailed Solution for Test: JEE Previous Year Questions- Motion in a Straight Line - Question 9

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