A projectile fired at 30 degrees with a velocity of 15 m/s would have an x-velocity component of m/s and a y-velocity component of m/s. Calculate the components of the following projectile's velocities: 1. v = 35 m/s 0 = 150 Vx = Vy 4. v= 35 m/s 0 = 60 Vx = Vy 2. v = 35 m/s 0 = 30 Vx = Vy 5. v= 35 m/s 0 = 750 Vx = Vy 3. v = 35 m/s 0 = 450 Vx = 6. v= 35 m/s 0 = 90% Vx = Vy We can reverse the process and combine the two components of velocity back into one velocity fired at an angle. The magnitude of velocity is found using the Pythagorean Theorem with vx and vy as the legs of a right triangle. For instance, the velocity of a projectile with an x-component of 7.2 and a y-component of 4.8 is v7.22 + 4.82 =8.7m/s. The angle above the horizontal is found using the inverse tangent (tan") of the legs vy/Vx. For instance, the angle of the projectile described above would be tan 4.8 )= 34. Calculate the velocity magnitude and angle of the projectiles listed below: 7. Vx = 5.6 Vy = 6.4 v= 0 = 9. Vx = 8.1 Vy = -7.2 v= 0 = 8. Vx = 2.8 Vy = 4.9 v= 0 = 10. Vx = -1.3 vy = -5.2 v= 0 = Conclusion Questions: 1. Without air resistance, the piano travels further / the same distance as the football. (circle) 2. This is due to the fact that velocity in the X-direction increases / is constant / decreases as projectiles travel. 3. The Y-component of velocity increases / is constant / decreases as projectiles travel. 4. The answers to #2 and #3 are due to the fact that gravity acts only in the Y / both the X any Y direction