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1) A projectile is fired with an initial speed of 60.5 m/s at an angle of 35.4 a

ID: 1472688 • Letter: 1

Question

1) A projectile is fired with an initial speed of 60.5 m/s at an angle of 35.4 above the horizontal on a long flat firing range.

A) Determine the maximum height reached by the projectile.

B) Determine the total time in the air.

C) Determine the total horizontal distance covered (that is, the range).

D) etermine the speed of the projectile 1.10 s after firing.

E)Determine the direction of the projectile 1.10 s after firing.

2)

A batter hits a fly ball which leaves the bat 0.96 mabove the ground at an angle of 62 with an initial speed of 29 m/s heading toward centerfield. Ignore air resistance

A)

How far from home plate would the ball land if not caught?

B) The ball is caught by the centerfielder who, starting at a distance of 110 m from home plate, runs straight toward home plate at a constant speed and makes the catch at ground level. Find his speed.

Explanation / Answer

A)

Hmax = u2sin2theta/(2*g)

=> Hmax = 60.52*sin2(35.4)/(2*9.8) = 62.67 m

B)

T = 2usin(theta)/g

T = 2*60.5*0.57928117/9.8 = 7.15sec

C)

R = u2sin(2*theta)/g = 60.52*0.94437637/9.8 = 352.71 m