Kinematics (NEET (NTA)National Eligibility cum Entrance Test (Medical) Physics): Questions 51  55 of 233
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Question number: 51
» Kinematics » Motion in a Straight Line
Question
The motion of a body is given by the equation dv (t) /dt = 6.0  3v (t), where v (t) is speed in m/s and t in sec.
If body was at rest at t = 0
Choices
Choice (4)  Response  

a.  The speed varies with the time as v (t) = 2 (1 – e ^{5t}) m/s 

b.  The magnitude of the initial acceleration is 6.0 m/s2 

c.  The speed is 0.1 m/s when the acceleration is half the initial value 

d.  The terminal speed is 4 m/s 

Passage
When an airplane flies, its total velocity with respect to the ground is v _{total} = v _{plane} + v _{wind’} where v _{plane} denotes the plane’s velocity through motionless air,
And v _{wind} denotes the wind’s velocity. Crucially, all the quantities in this equation are vectors. The magnitude of a velocity vector is often called the “speed. ”
Consider an airplane whose speed through motionless air is 100 meters per second (m/s). To reach its destination, the plane must fly east.
The “heading” of a plane is in the direction in which the nose of the plane points. So, it is the direction in which the engines propel the plane.
Question number: 52 (1 of 3 Based on Passage) Show Passage
» Kinematics » Average Speed and Instantaneous Velocity
Question
If the plane has an eastward heading, and a 20 m/s wind blows towards the southwest, then the plane’s speed is 
Choices
Choice (4)  Response  

a.  more than 100 m/s 

b.  more than 80 m/s but less than 100 m/s 

c.  80 m/s 

d.  100 m/s 

Question number: 53 (2 of 3 Based on Passage) Show Passage
» Kinematics » Average Speed and Instantaneous Velocity
Question
Let denote the answer of above question. The plane has what speed with respect to the ground?
Choices
Choice (4)  Response  

a. 
 
b.  (100 m/s) 

c.  (100 m/s) 

d. 

Question number: 54 (3 of 3 Based on Passage) Show Passage
» Kinematics » Average Speed and Instantaneous Velocity
Question
The pilot maintains an eastward heading while a 20 m/s wind blows northward. The plane’s velocity is deflected from due east by what angle?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 

Question number: 55
» Kinematics » Scalars and Vectors » Scalar and Vector Products
Question
Two forces Fl = 5i + l0j  20k and F2 = 10i  5j  l5k act on a single point. The angle between Fj and F2 is nearly
Choices
Choice (4)  Response  

a.  30° 

b.  90° 

c.  45° 

d.  60° 
