Kinematics (NEET (NTA)National Eligibility cum Entrance Test (Medical) Physics): Questions 82  86 of 233
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Passage
A particle moves along xaxis and its acceleration at any time t is a = 2 sin (πt), where t is in seconds and a is in m/s ^{2}. The initial velocity of particle (at time t = 0) is u = 0.
Question number: 82 (2 of 3 Based on Passage) Show Passage
» Kinematics » Motion in a Straight Line
Question
the distance travelled (in meters) by the particle from time to t = 0 to t = 1 is will be
Choices
Choice (4)  Response  

a.  4/π 

b.  2/π 

c.  1/π 

d.  None of the above 

Question number: 83 (3 of 3 Based on Passage) Show Passage
» Kinematics » Motion in a Straight Line
Question
The magnitude of displacement (in meters) by the particle from time t = 0 to t = t will be –
Choices
Choice (4)  Response  

a.   

b.   + 

c. 
 
d.  None of the above 

Question number: 84
» Kinematics » Average Speed and Instantaneous Velocity
Question
A ball is fixed to the end of a string and is rotated in a horizontal circle of radius 10 m with a speed of 20 m/sec. The acceleration of the ball will be 
Choices
Choice (4)  Response  

a.  30 m/s ^{2} 

b.  10 m/s ^{2} 

c.  20 m/s ^{2} 

d.  40 m/s ^{2} 

Question number: 85
» Kinematics » Average Speed and Instantaneous Velocity
Assertion (Ꭺ)
Two projectiles are launched from the top of a cliff with same initial speed with different angles of projection. They reach the ground with the same speed
Reason (Ꭱ)
The work done by gravity is same in both the cases.
Choices
Choice (4)  Response  

a.  Both Ꭺ and Ꭱ are false 

b.  Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ 

c.  Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ 

d.  Ꭺ is true but Ꭱ is false 

Question number: 86
» Kinematics » Average Speed and Instantaneous Velocity
Question
A ball is projeced from O with an initial velocity 700 cm/s in a direction 37° above the horizontal. A ball B, 500 cml away from O on the line of the initial velocity of A, isl released from rest at the instant A is projected. The height! through which B falls, before it is hit by A and the directionl of the velocity A at the time of impact will respectively bel [given g = 10 m/s2, sin 37° = 0.6 and cos 37° = 8.0]
Choices
Choice (4)  Response  

a.  245 cm, 20° 44 

b.  300 cm, 27° 43 

c.  255 cm, 27° 43 

d.  250 cm, 28° 42 
