dx = v x t dy = v y t + ½ at 2. Projectile Motion. Projectile. Object given an initial velocity, that then moves only under the force of gravity. Trajectory. The path that a projectile traces. Parabolic (neglecting the effect of wind resistance).
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Object given an initial velocity, that then moves only under the force of gravity.
The path that a projectile traces. Parabolic (neglecting the effect of wind resistance).
Horizontal and Vertical components of motion are independent of one another, only when they act in concert do we get a true parabolic trajectory.
NOTE: ag = -9.8m/s2
Acceleration in the x direction = 0
Constant velocity in the X direction
(note the constant size of the vector)
Acceleration in the Y direction = -9.8 m/s2
Increase velocity in the Y direction (note the increasing size of vectors)
A stone is thrown horizontally from the top of a cliff which is 44m high at a velocity of 15m/s.
a) How long does it take for the stone to reach the bottom of the cliff?
b) How far from the base of the cliff does the stone strike the ground?
Formulasx = vxty = vyt + ½ at2
Vy = at
= (-9.8 m/s2)(3s)
Vy = -29 m/s
vx2 + vy2 = v2
-292 + 152 = v2
841 + 225 = v2
1066 = v2
V = 33 m/s
15 m/s (given)
*Break v up into vx and vy
A ball is thrown into the air with an initial velocity of 20m/s at an angle of 60º above the horizontal.
a) How long does the ball take to land?
b) How high did the ball fly?
c) What was its range?