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# Vertical projectile motion

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Physics summary presentation for vertical projectile motion

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### Vertical projectile motion

1. 1. 1 Everything Science www.everythingscience.co.za 3. Vertical projectile motion - 1D Physics Grade 12
2. 2. 2 Everything Science www.everythingscience.co.za Projectiles Projectiles are objects that move through the air. In vertical projectile motion we deal with objects that fall under the influence of gravity and only vertically. Objects that move up and down (vertical projectiles) on the Earth accelerate with a constant acceleration g which is approximately equal to 9,8 m·s−2 directed downwards towards the centre of the earth.
3. 3. 3 Everything Science www.everythingscience.co.za Time symmetry The time it takes an object to rise to its maximum height, is the same as the time it will take to fall back to its initial height. The magnitude of the velocity will also be the same but the direction will be reversed. This is known as time symmetry and is a consequence of uniform gravitational acceleration.
4. 4. 4 Everything Science www.everythingscience.co.za Equations of motion We can use the following equations of motion to solve problems involving vertical projectile motion. ⃗vf =⃗vi +⃗gt Δ⃗x= ⃗vf −⃗vi 2 t Δ⃗x=⃗vi t+ 1 2 ⃗gt2 ⃗vf 2 = ⃗vi 2 +2⃗gΔ⃗x
5. 5. 5 Everything Science www.everythingscience.co.za Graphs Graphs for vertical projectile motion are similar to graphs for motion at constant acceleration. Initial velocity upwards – Position-time graph and velocity-time graph
6. 6. 6 Everything Science www.everythingscience.co.za Initial velocity zero Initial velocity downwards Position-time graph for initial velocity zero or downwards
7. 7. 7 Everything Science www.everythingscience.co.za Position-time graphs for object thrown upwards If we choose the point from which the object is thrown as the origin of our coordinate system then the graph will look like this: If we choose to centre our coordinate system at the point where the object lands then the graph will look like this:
8. 8. 8 Everything Science www.everythingscience.co.za Acceleration-time graph This does not depend on the starting velocity or position of the object.
9. 9. 9 Everything Science www.everythingscience.co.za For more practice see: everythingscience.co.za Shortcode: ESBK2
10. 10. 9 Everything Science www.everythingscience.co.za For more practice see: everythingscience.co.za Shortcode: ESBK2