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Q.

The equation of the path of a projectile is:


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a

Question Image

b

Question Image

c

Both a and b

d

None of these 

answer is A.

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Detailed Solution

Concept:
Question ImageA diagrammatic representation of projectile motion is given above.
The acceleration along the Question Image-axis is given as Question Image where the negative sign denotes direction.
The horizontal component of the initial velocity of the body is Question Image and the vertical component of the initial
velocity is Question ImageThe displacement along the Question Image-axis is given as Question Image and the displacement along the Question Image-axis is given as Question ImageSince the acceleration is acting along the Question Image-axis, we'll apply the second equation of motion to find the displacement.
The second equation of motion is given as Question Image where Question Image is the displacement, Question Image is the initial velocity and Question Image is the acceleration
Substituting the values in the above equation, we get
Question ImageQuestion ImageThe motion along Question Image-axis is a motion with constant velocity so displacement can be given as displacement = velocity Question Image time
Substituting the values, we get
Question ImageNow we have to eliminate the time variable from the two equations. This is done by substituting the value of time from the second equation into the first equation. The equation can now be given as
Question ImageQuestion ImageHence, option 1 is correct.
 
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