1. A ball thrown horizontally at 22.2 m/s from the roof of a building lands 40.0

Question

1. A ball thrown horizontally at 22.2 m/s from the roof of a building lands 40.0 m from the base of the building. How high is the building?
m

2. A projectile is fired with and initial speed of 60 m/s at an angle of 30 degrees above the horizontal on a long flat firing range. Determine a) the maximum height reached, b) the total time in the air, and c) the total horizontal distance covered (i.e. the range). a) m b) s c) m

3. You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 3.6 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?
m

Explanation / Answer

x = vx*t

40 = 22.2 * t

t = 40/22.2

h = gt^2/2

h = 15.9 m

part 2 )

a)

hmax = u^2sin^2(theta)/2g

hmax = 45.92 m

b)

total time = 2u sin(theta)/g

t = 2*60 sin(30)/9.8

t = 6.12 s

c )

range = vcostheta * t

range = 318.13 m

part 3 )

R = vo^2 sin(2theta)/g

y-yo = voy*t -1/2 *gt^2

y-yo =0

voy = gt/2

R = gt^2/4

R = 31.752 m

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