Meadimum Height, Range, R A cannonball is fired from a gun and lands 560 meters

Question

Meadimum Height, Range, R A cannonball is fired from a gun and lands 560 meters away at a time 10 seconds. What is the y-component of the initial velocity? m/s. Submit Answer Tries o/3 What is the maximum height of the cannonball? meters. Submit Answer Tries 0/3 What is the x-component of the initial velocity? m/s. Submit Answer Tries 0/3 What is the muzzle velocity of this projectile? m/s. Submit Answer Tries 0/3 What is the angle of inclination of this projectile? degrees from the horizontal. Submit Answer Tries 0/3 61 Post Discussion

Explanation / Answer

time of flight, T = 2 v0 sin(theta) / g = 10 .... (i)

and Range = v0^2 sin(2 theta) / g

560 = 2 v0^2 sin(theta) cos(theta) / g ...... (ii)

(ii)/(i) =>

v0 cos(theta) = 56  

and v0 sin(theta) = 49

(A) v0y = v0 sin(theta) = 49 m/s

(B) in vertical, vf^2 - vi^2 = 2 a d

0^2 - (v0 sin(theta))^2 = 2 (-g)(H)

H = 49^2 / (2 x 9.8) = 122.5 m

(C) v0x = v0 cos(theta) = 56 m/s

(D) v0 = sqrt(v0x^2 + v0y^2) = 74.4 m/s

(E) theta = tan^-1(v0y / v0x)

= 41.2 deg

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