King Arthur\'s knights fire a cannon from the top of the castlewall. The cannonb

Question

King Arthur's knights fire a cannon from the top of the castlewall. The cannonball is fired at a speed of 77 m/s and an angle of34°. A cannonball thatwas accidentally dropped hits the moat below in 1.5 s.

A) How far from the castle wall does the cannonball hitthe ground?

B)What is the ball's maximumheight above the ground?
King Arthur's knights fire a cannon from the top of the castlewall. The cannonball is fired at a speed of 77 m/s and an angle of34°. A cannonball thatwas accidentally dropped hits the moat below in 1.5 s.

A) How far from the castle wall does the cannonball hitthe ground?

B)What is the ball's maximumheight above the ground?

Explanation / Answer

   a.   Height of cannon can becalculated using second equation             h   =   u* t   +   (1/2) * g *t2             h   =   0* 1.5   +   0.5 * 9.8 *1.52   =   11.02   m    b.   Height attained by aprojectile             H   =   v2* sin2 / 2 *g   =   772 *sin2 340 / 2 *9.8   =   94.59   m          Maximumheight of cannon ball aboveground   Hmax   =   H+ h   =   94.59 + 11.02       Hmax   =   105.61   m             h   =   0* 1.5   +   0.5 * 9.8 *1.52   =   11.02   m    b.   Height attained by aprojectile             H   =   v2* sin2 / 2 *g   =   772 *sin2 340 / 2 *9.8   =   94.59   m          Maximumheight of cannon ball aboveground   Hmax   =   H+ h   =   94.59 + 11.02       Hmax   =   105.61   m

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