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Go to your assigned seat. SILENTLY. Get your Lecture Notebook. SILENTLY. Do the quick write. SILENTLY. Thank you and Have a nice day!. REMINDERS. Projectile Motion. Independence of Horizontal and Vertical Motion. ?. REVIEW. MOTION. One Dimension. Two Dimension. Horizontal Motion.
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Go to your assigned seat. SILENTLY. Get your Lecture Notebook. SILENTLY. Do the quick write. SILENTLY. Thank you and Have a nice day! REMINDERS
Projectile Motion Independence of Horizontal and Vertical Motion
? REVIEW MOTION One Dimension Two Dimension Horizontal Motion Vector Projectile Vertical Motion
Recalling Principles Horizontal Motion Vertical Motion
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.
Equations: • t = (2d/g • dx = Vxt • Vy = gt Vx stays constant Vy increases due to gravity • Horizontal Projectiles: Vx y dx
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
let's put some math with it… Don’t forget to Illustrate!!!
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.
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.
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.
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
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
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.