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

Initial height

$$ y_0 $$ Unit $$ \mathrm{m} $$

Initial height from which a body is thrown.

Initial vertical velocity

$$ v_{\text y0} $$ Unit $$ \frac{\mathrm m}{\mathrm s} $$

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.

Time

$$ t $$ Unit $$ \mathrm{s} $$

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

Gravitational acceleration

$$ g $$ Unit $$ \frac{\mathrm{m}}{\mathrm{s}^2} $$

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.

Hey! I am Alexander FufaeV

I have a degree in physics and I wrote this content. It's important to me that you are satisfied when you come here to get your questions answered and problems solved. But since I don't have a crystal ball, I depend on your feedback. That way I can eliminate mistakes and improve this content so that other visitors can benefit from your feedback.

How satisfied are you?

Very nice!

If there is anything you would like to see improved, please send me a message below. I would be very happy if you support the project.

Hmm...

Would you mind telling me what you were missing? Or what you didn't like? I take every feedback to heart and will adapt and improve the content.

What's the trouble?

Do not be disappointed, I can certainly help you. Just send me a message what you actually wanted to find here or what you don't like. I really take your feedback seriously and will revise this content. If you are very disappointed, explain your concern in the feedback and leave your email and I will try to help you personally.