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The equation of the path of a projectile is:

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Both a and b

None of these

answer is A.

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Detailed Solution

Concept:

A diagrammatic representation of projectile motion is given above.
The acceleration along the

-axis is given as

where the negative sign denotes direction.
The horizontal component of the initial velocity of the body is

and the vertical component of the initial
velocity is

The displacement along the

-axis is given as

and the displacement along the

-axis is given as

Since the acceleration is acting along the

-axis, we'll apply the second equation of motion to find the displacement.
The second equation of motion is given as

where

is the displacement,

is the initial velocity and

is the acceleration
Substituting the values in the above equation, we get

The motion along

-axis is a motion with constant velocity so displacement can be given as displacement = velocity

time
Substituting the values, we get

Now 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 Image

Hence, option 1 is correct.

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The equation of the path of a projectile is:

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