Projectile Motion Everyday applications Vector additions

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Presentation transcript:

Projectile Motion Everyday applications Vector additions Some basic concepts Practice, Practice, Practice

We see examples of projectile motion every day Basketball: taking a jump shot Golf: Driving off a tee Football: QB throwing a BOMB Can you think of others?

Projectile Motion The trajectory (curved path) a projectile follows is always a combination of two INDEPENDENT motions…… one vertical (affected by gravity) and one horizontal (constant velocity) Vertical motion: Horizontal Motion Vf = Vi + at Vh = d/t Vf2 =Vi2 + 2ad d = Vit + 1/2at2 Projectile Motion

Projectile Motion When we are looking at an object that Exhibits projectile motion, we MUST Separate the motion into its’ VERTICAL and HORIZONTAL components. The vertical component is affected by GRAVITY. It slows down on the way up, and speeds up on the way down at a rate of –9.81 m/s2. It is just like throwing a ball straight up in the air. Projectile Motion

Projectile Motion The HORIZONTAL component is NOT affected by gravity, therefore, if we neglect air resistance, the object should be moving Horizontally at constant velocity (which means NO Acceleration). The equation we use for this is: Vh = d/t Projectile Motion

We will use Trig to find the components. Sin q = Vv / 25.5 m/s cos q = Vh / 25.5 m/s 25.5 m/s Vv q Vh Use Trig functions to separate the vertical and horizontal components of the trajectory. Then use Vv and Vh to calculate the rest.

Projectile Motion Ready to try an example: Let’s say we fire a cannonball with an initial velocity of 42.8 m/s @ an angle of 37.3o with respect to the ground. How long will the cannonball be in the air? How high will the cannonball go? How far away will the cannonball hit the ground?

Projectile Motion Draw a picture Find your Vertical and Horizontal components + and – are very important for vertical motions Solve vertical motions first Last solve horizontal motions.

Projectile Motion As long as you are careful in taking apart these types of problems, and ask the right questions, they are solved easily. There is just a lot of math. Remember : Sig Figs COUNT! Now Let’s try another one: