Physics coding -> getting the trajectory of an object with a force applied to it.

[Johnny97]

I am trying to code a physics game in 2D.
there is a 10 kg weight. the player can apply a force to it (press and pull back for more/less force) and can move the cursor to apply at any angle (from 0 to 90 degrees from the horizon).

So, let's say the player does 45 degrees with a force of 10 Newtons at the 10 kg weight (keeping numbers round and simple)
how to I draw the parabola resulting?
I want the distance to be like in real life (ignoring drag).
how far and how high would the ball go?

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Im getting different responses online and not sure what is right.

f=ma -> a = F/m -> acceleration = 10N/10kg = 1m/s^2

but then what?
how long does that go on and with 9.8m/s^2 of gravity does the weight even move? what if we change to 100N instead?

thanks for any maths help.

 

[WhiteCube]

A thrown rock does not have an acceleration. It has an initial velocity.

With the formulas I have, a force (N) transfers acceleration to an object over time. Like a rocket engine.

I can't help you with converting your N and kg into an initial velocity.

Now for the "how high" and "how far".

A physicist would probably use formulas for x and y that are functions of time. Complicated but accurate, and can be done on paper.

A programmer would simulate many small time periods and apply simple formulas. More loops, smaller period, more accuracy.

Using the initial angle (a), split the initial velocity (v) into a horizontal velocity and a vertical velocity.

hv = v * cos(a)
vv = v * sin(a)

Initialise the rock.

x = 0
y = 0
g = 9.8 gravity

To simulate a tiny slice of time (t).

hv doesn't change
vv -= g * t
x += hv * t
y += vv * t