Question

What is the shape of a projectile's trajectory near the surface of the earth, ignoring air resistance?

Answer 1

Near the surface of earth, the equation of projectile motion. Is given as

y = x tan (theta) - 0.5 g x^2 /( u^2 cos² (theta))

Where

y = vertical position

x = horizontal position

Theta = angle of projection above horizontal

g = acceleration due gravity ( = 9. 8 m/s^2)

u = velocity of projection

Now the above equation can be considered as the equation of parabola,

Hence the trajectory of projectile near earth's surface is parabolic in nature.

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