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# P5c Projectile Motion

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### P5c Projectile Motion

1. 1. P5c - Projectile motion
2. 2. Projectile motion <ul><li>A projectile is something that is _________ or _________ sideways, just above the Earth’s surface, where __________ will pull it downwards </li></ul><ul><li>After the ball leaves the racket, the only force acting on it is ____________ . Air resistance is so small that it can be ______________ </li></ul>
3. 3. Trajectory - Parabolic <ul><li>The path or ______________ of a typical projectile is shown above </li></ul><ul><li>This type of curved path is called ___________ </li></ul>Horizontal Vertical
4. 4. Projectile motion <ul><li>The path of a projectile is curved like this because its velocity the product of a vector sum of its horizontal and vertical velocities </li></ul>
5. 5. Projectile motion <ul><li>The two balls will hit the ground at the same time even though one is pushed horizontally and the other is dropped straight downwards. This is because, after they leave the table, the only acceleration they feel is from _____________ </li></ul>Vertical distance Vertical distance
6. 6. Reminder - Equations of Motion <ul><li>1. s = (u +  )t </li></ul><ul><li>2 </li></ul><ul><li>2.  = u + at </li></ul><ul><li>3.  2 = u 2 + 2as </li></ul><ul><li>4. s = ut + 1/2 at 2 </li></ul><ul><li>Where: </li></ul><ul><li>t = Time we are working with </li></ul><ul><li>s = Displacement (distance traveled in time t) </li></ul><ul><li>u = initial velocity at t = 0 </li></ul><ul><li>= final velocity after time t </li></ul><ul><li>a = acceleration (10 m/s 2 if object is falling) </li></ul>
7. 7. Calculating projectile motion (Equations of motion) <ul><li>Q ~ If a stone is thrown off a 45 m high cliff with an initial horizontal velocity of 2 m/s, how long will it take to hit the water? </li></ul><ul><li>A ~ We need to use… s = ut + 1/2at 2 </li></ul>
8. 8. Calculating projectile motion <ul><li>Q ~ How far from the bottom of the cliff will the stone hit the water? </li></ul><ul><li>A ~ This time we use… </li></ul>s = ut + 1/2at 2
9. 9. Calculating projectile motion <ul><li>Q ~ A paintball is fired with a horizontal velocity of 80 m/s at a height of 1.25 m above the ground: </li></ul><ul><li>How long until it hits the ground? </li></ul><ul><li>How fast is it traveling when it hits the ground? </li></ul><ul><li>How far did it travel horizontally? </li></ul><ul><li>A ~ </li></ul>