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Mastering Projectile Motion: Equations, Illustrations, and Practice Problems

Understand the principles of projectile motion, independence of horizontal and vertical motion, relevant equations, and solve practice problems with illustrations for better comprehension. Enhance your knowledge and skills in one-dimensional and two-dimensional motions.

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Mastering Projectile Motion: Equations, Illustrations, and Practice Problems

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  1. Go to your assigned seat. SILENTLY. Get your Lecture Notebook. SILENTLY. Do the quick write. SILENTLY. Thank you and Have a nice day! REMINDERS

  2. Projectile Motion Independence of Horizontal and Vertical Motion

  3. ? REVIEW MOTION One Dimension Two Dimension Horizontal Motion Vector Projectile Vertical Motion

  4. Recalling Principles Horizontal Motion Vertical Motion

  5. Projectile motion • A projectile is any object that is “launched.” • Its motion can be straight up/down; • Or it can be horizontal at a height; • Or it can be upwards at an angle; • Whichever case, the key idea is the same: the horizontal and vertical motions are INDEPENDENT of each other.

  6. Projectile motion

  7. Relevance…

  8. Equations: • t = (2d/g • dx = Vxt • Vy = gt Vx stays constant Vy increases due to gravity • Horizontal Projectiles: Vx y dx

  9. Projectiles at an angle h vo Vy Vx dx Recall parts and functions of a triangle. • Equations: • Vx = Vocosθ • Vy = Vosinθ • tpeak = Vy/g • ttot = 2tpeak = 2Vy/g • dx = Vx t • h = Vytpeak - (½) g tpeak2

  10. let's put some math with it… Don’t forget to Illustrate!!!

  11. Case 1 with vector… • The launch velocity of a projectile is 27 m/s at 53 degrees above the horizontal. Draw the diagram of the component of velocities and resolve for the horizontal and vertical component of its velocity.

  12. With vector… • A ball is kicked at a velocity of 20 m/s at angle of 35 degrees. Determine the horizontal and vertical component of its velocity.

  13. Projectile 1 • A long jumper leaves the ground with an initial velocity of 13 m/s at an angle 30 degrees above the horizontal, Determine the • Time of flight • Horizontal distance (range) • Maximum height Illustrate and write down the given and unknown.

  14. Projectile 2 • A football is kicked with an initial velocity of 27 m/s at an angle of 36 degrees with the horizontal, Determine; • Time of flight • Horizontal distance • Peak height of the ball

  15. Projectile 3 • A projectile is fired with an initial speed of 72.5 m/s at an angle 38 degrees above the horizontal on a long flat range. Determine; • the maximum height • total time in air • total horizontal distance

  16. Try…on a piece of paper… • A baseball player throws a baseball at a speed of 40 m/s at an angle of 30 degrees to the ground, what is its horizontal velocity component? • A cannon fires a projectile at an angle of 45 degrees with the horizontal with a velocity of 700 m/s. determine the time of flight, distance covered and its maximum height.

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