a projectile of mass 0.212kg is shot from a cannon. The end of the cannon barrel

Question

a projectile of mass 0.212kg is shot from a cannon. The end of the cannon barrel is at height 6.4m, the initial velocity of the projectile is 9.3m/s. the projectile rises to a max height of y above the end of the cannon%u2019s barrel and strikes the ground a horizontal distance x past the end of the cannon%u2019s barrel.

A)Find the time it takes for the projectile to reach its maximum height. The acceleration of gravity is 9.8 m/s2 . Answer in units of s

B).How long does it take the projectile to hit the ground? answer in seconds

c).Find the range x of the projectile? answer in m

Explanation / Answer

a) time it takes for the projectile to reach its maximum height = vsin(theta)/g = 0.95 sin(theta)

b) 2*0.95sin(theta) + -0.95sin(theta) +sqrt (86.5 sin^2(theta) - 128) / 10

c)range = 86.5sin(2 theta) /g + 9.3cos(theta) (-0.95sin(theta) +sqrt (86.5 sin^2(theta) - 128) / 10)

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