WORKSHEET 2: Type 2: Projectile Motion (Full parabolas). An object is given an initial velocity (vi) at some angle (0° < ș < 90°). You can find the two components of the initial velocity (vi) along the x axis (vix) and along the y axis (viy). Similar equations are used as in type 1 parabolas but with some modifications. Again, we neglect air resistance.
Useful equations In the x direction vix = vx = vi*cos(ș) xf = xi + vx(t) No acceleration in the x direction
unit_5_gen_physics_projectile_worksheet_packet.doc,
In the y direction viy = vi*sin(ș) yf = yi + viy(t) + ½ a(t2) vfy = viy + a(t) Where a = g, the acceler. due to gravity
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Example Problem: Ryan shoots a Nerf dart gun with an initial velocity of 4.47 m/s at an angle of 66 degrees above the horizontal. a) Draw the dart’s parabola. b) Include velocity vectors at several points along the parabola including the initial time and the apex. What is the acceleration along the path? (answer = -9.8 m/s/s) c) First find the components of the initial velocity vector. (answers: vix = 1.82 m/s; viy = 4.08 m/s) d) How long does it take the dart to reach the apex? (answer = 0.416 sec) e) What is the total time it takes for the ball to travel in its path? (answer = 0.832 sec) f) What is the velocity vector 0.25 seconds into its path? (answers: v = 2.44 m/s, ș = 42º) g) What is the velocity vector 0.75 seconds into its path? (answers: v = 3.78 m/s, ș = -61º) h) How far horizontally did the dart travel? (answer = 1.51 m) i) What was the dart’s maximum height? (answer = 0.849 m)
unit_5_gen_physics_projectile_worksheet_packet.doc,
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