1) The initial speed of a cannonball is 600 m/s. The accelerationof gravity is 9

Question

1) The initial speed of a cannonball is 600 m/s. The accelerationof gravity is 9.8 m/s2 . The cannon and target are at the sameelevation. If the ball is to strike a target that is at ahorizontal distance of 3.6 km from the cannon, what is the minimumtime of flight for the ball? Answer in units of s.

2) a) A particle moves in the xy plane with constant acceleration.At time zero, the particle is at x = 6 m, y = 2 m, and has velocityvo = (3.5 m/s) i + (4.5 m/s) ˆj . The acceleration isgiven by a = (8.5 m/s2) i + (6 m/s2) j . What is the x component ofvelocity after 2.5s? Answer in units of m/s.

b) What is the y component of velocity after 2.5 s? Answer in unitsof m/s.

c) What is the magnitude of the displacement from the origin (x = 0m, y = 0 m) after 2.5 s? Answer in units of m.

Thank you for your help!

Explanation / Answer

Vi = 600 m/s a = -9.8 m/s^2 Vf = 0 (at peak of motion)

0 = 600 +-9.8(t)
-600/-9.8 = t
t = 61.22

but that is the time to complete half the motion, doubling the timewill you give you the total time of flight for the cannon ball

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