Question

An object moves with constant speed in the x-direction, but in the y-direction it is subject to an acceleration that increases linearly with time: a(t)=bt, where b is a constant. Assume there is no gravity.

Derive an equation analogous to

y=xtanθ−(g/2V^2cos^2θ0)x^2

giving the object's trajectory in this situation. Note that θ0θ0 is the angle measured from the horizontal, at which the projectile is launched, and v0v0 is its initial speed. Assume the object starts moving from the origin.

Express your answer in terms of the variables x, V0, θtheta, and b. Express the coefficients using three significant figures.

I tried to answer this but it says the answer does not depend on V.

Answer 1