Velocity of a ball from acceleration#

The acceleration of a ball is given by $$a(x) = -5kx^2$$, where $$a$$ is acceleration of the ball in $$m/s^2$$, $$k$$ is a constant with unspecified units, and $$x$$ is the position of the ball in $$m$$.

Question Text#

Consider the following initial conditions for position $$x_0$$ and velocity $$v_0$$ at $$t = 0 s$$: $$x_0 = {{params.s0}} m$$ $$v_0 = {{params.v0}} m/s$$ Use these conditions to detemine the velocity of the ball at $$x = {{params.s}} m$$. You may use $$k = {{params.k}}$$.

Please enter in a numeric value in $${{ params.vars.units }}$$.