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an initial spoed of SO vs at a launch sangle of 40 towd a spoed due to the air a

ID: 1585075 • Letter: A

Question

an initial spoed of SO vs at a launch sangle of 40 towd a spoed due to the air are negligible. (Por this problem,we9 A cannonball is shot with " wall is 30 m. Assume that effects air are a) Show (b) How long witl it take for the cannonball to serike the e) At what hwright above the base of the wall will the casale wall 220 m away. The height ef the that the caneonball will strike the castle wall. an initial speed of 40 m's and a launch angle of 3 from a cluff that is 25 m tal s 4 A cannonball is fired with a) What is the fnight time of the cannonball? (b) What is the range of the cannonball? raphs Ia the two versus time (from below, plot the horizontal speed of the projectile versus time and the vertical speed of the peojectile the initial launch of the projectile to the instant it strikes the grouand). initial Horizontal Speed vs. Time Vertical Speed vs. Time v (m/s) v (m/s) 30 20 10 30 10 t (s) r (S)

Explanation / Answer

3.

a)

theta = 40 degree

Vo = 50 m/s

x = 220 m

for horizontal motion

x = (v*cos(theta)*t

220 = (50 x cos(40)*t

t = 5.74 sec

for vertical motion

h = (v*sin(theta)*t + 1/2gt^2

h = (50 x sin(40) x 5.74) + 1/2 x 9.81 x (5.74)^2

h = 23 m

heigth of the wall is 30 m the ball will strike the wall

t = x/vox =

t = 220 / (50 x cos(40)

t = 5.74 sec

c)

Ans is 23 m from part first