A ball is thrown vertically upwards

A ball is thrown vertically upward with an initial velocity of $v_0=10$ m/s. If friction is negected, the only force on the ball is gravity and the acceleration that the ball experiences is the acceleration of gravity at the earth's surface, -9.81 m/s². The acceleration does not depend on the mass of the ball. The motion is in a line which we can take to be the $x$-axis. The equations are loaded into the numerical second order differential equation solver below.

 Numerical 2nd order differential equation solver 

$ \large \frac{dx}{dt}=$

$v_x$

$ \large a_x=\frac{F_x}{m}=\frac{dv_x}{dt}=$

Intitial conditions: 

$x(t_0)=$

 

$\Delta t=$

$v_x(t_0)=$

 

$N_{steps}$

$t_0=$

 

Plot:

vs.

 

 $t$       $x$      $v_x$