Question

A grappling hook is fired from a cannon at ground level with an initial speed of 40 m/s at an angle of 50° above the ground. It is fired at a vertical cliff. The cliff is very high and we are very close, so we are SURE that the hook will hit the face of the cliff. A) Determine the x component of the initial velocity, AND show that they component of the initial velocity is 30.6 m/s up. 8 2.8 B) it takes 4.0 seconds for the hook to hit the wall. Determine the height of the hook at the point it hits the wall AND determine the y-component of the velocity vy) at the time of impact. & 8.8 C) Draw a graph of the y-component of the velocity, w as a function of time for those 4.0 seconds. The axes should be labeled, include units, and be to an appropriate scale. The graph should take up a space roughly 10 cm on a side. O- - A

Answer 1

u 40 of ucoso 40 cos 50° component of initial 40 sin 50° Y- component initial speed m/s 0 - 50 A) X- component of initial velocity x = 25.71 25-71 m/s Y- velocity My usino Чу 30.6 m/s up. 8 Height of the hook at the (usino) t H = 44 m gt - (9.884) y = -8.6 m/s ie downward. t = 4 sec. H = time of Ź it? 2 x 9.8 x (4)² 30.6 X 4 H My V- cs 30.6

C at t=1 sec. uy - gt 30.6 - 9.8x1 20-8 m/s at t = 2 sec U ce 30. 6 - 9.8 x 2 = 1 mls 1.2. m/s at t = 3 sec. vy 30.6 -9.8 X3 at t = 4 sec. - 8.6 m/s d) (m/s) gost 40 30 2o + 1 > t 2 (sec) 3 20