Skip to main content

Formula Oblique Throw Current height    Initial height    Initial vertical velocity    Time    Gravitational acceleration

Formula: Oblique Throw
Oblique throw - trajectory with initial velocity, angle and height
Hover the image! Get this illustration

Current height

Height of a thrown (or launched) body at time \(t\). The height is the vertical distance to the ground.

Initial height

Initial height from which a body is thrown.

Initial vertical velocity

Initial velocity in vertical direction. For example, the body could have been thrown at an angle, which is why it has a velocity \(v_{\text y0}\). The total velocity of the body is \( v_0 = \sqrt{ v_{\text y0}^2 ~+~ v_{\text x0}^2 } \) with \(v_{\text x0}\) as initial velocity in the horizontal direction.


If you insert a time \(t\) into the formula, you get the current height position \(y(t)\) of the body.

Gravitational acceleration

Gravitational acceleration is an acceleration of the body due to gravity. On earth it has the value \( g = 9.8 \, \frac{\mathrm m}{\mathrm s^2} \). The minus sign in the formula says that the gravitational acceleration is directed against the \(y\)-axis ("upwards"), which here points against the falling motion.