A cannonball is fired at 64.3 m / s from a cannon at an angle of 50 degree when

Question

A cannonball is fired at 64.3 m/s from a cannon at an angle of 50 degree when measured from the horizontal as shown in the figure below. The cannon is firing up onto an elevated hillside that is 60 meters above the level of the cannon.

Find the horizontal distance traveled to where the projectile strikes the ground.

A cannonball is fired at 64.3 m/s from a cannon at an angle of 50 degree when measured from the horizontal as shown in the figure below. The cannon is firing up onto an elevated hillside that is 60 meters above the level of the cannon. Find the horizontal distance traveled to where the projectile strikes the ground.

Explanation / Answer

u = 64.3 m/s

thtea = angle = 50 degree

h = 60 m

now let t = time of trvale

then h = u.sin (thetra).t - 1/2.g.t^2

so 60 = 64.3 x sin (50) x t - 1/2 x 9.81 x t^2

s

so t =8.623 s

so horizontal distance = u.cos(theta) x t

= 64.3 x cos (50) x 8.623 = 356.399 m

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