1. A gun is fired parallel to the ground. As the bullet leaves the barrel of the

Question

1. A gun is fired parallel to the ground. As the bullet leaves the barrel of the gun with a velocity of 50 m/s, find the following (neglecting air resistance):
a) Velocity in the x direction (vx)
b) Velocity in the y direction (vy)
c) Assuming the barrel is 140m above the ground; calculate how much time passes before the bullet hits the ground.
d) Using your answers above, calculate how far the bullet travels in the x-direction.

2. The same gun is fired at a 30° angle with respect to the horizontal. Answer parts a-d from question one above

Explanation / Answer

1)   a) Velocity in the x direction (vx)   = 50 m/s

      b) Velocity in the y direction (vy) = 0 m/s

      c) time passes before the bullet hits the ground = sqrt(2h/g)

                                                                              = sqrt(2 * 140/9.8)

                                                                              = 5.345 s

      d) far the bullet travels in the x-direction = 50 * 5.345

                                                                         = 267.25 m

2) a) Velocity in the x direction (vx) = 50 * cos30

                                                            = 43.3 m/s

     b) Velocity in the y direction (vy)   = 50 * sin30

                                                          = 25 m/s

     c) Here, - 140 = 25t - 4.9t2

=> time passes before the bullet hits the ground , t = 8.473 sec

d) far the bullet travels in the x-direction = 43.3 * 8.473

                                                                 = 366.88 m

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