1. A putting green islocated 170 feet horizontally and 50 feet vertically from t
ID: 2287240 • Letter: 1
Question
1.
A putting green islocated 170 feet horizontally and 50 feet vertically from the tee. What must be the magnitude and direction of the initial velocity if a ball is to strike the green at this location after a time of 3.6 seconds?
Initial Velocity Magnitude = ___ [Num]ft/s
Initial Velocity Angle = ____ [Num]degrees
2.
An object is projected horiztonally at 14 m/s. At the same time, another object loacated 7 meters down range is dropped from rest. When will the two objects collide?
Time = _____[Num] _____[Units]
3.
A golf ball leaves the tee with a velocity of 60 ft/s at 35 degrees. If it lands on a green located 7 feet higher than the tee, what was the time of flight, and what was the horiztonal distance to the green?
Time = _____[Num] ____[Units]
Distance = ____ [Num] ____[Units]
4.
A football is thrown with an initial velocity of 43 mph at an angle of 39 degrees. How many yards down the field does the ball land?
Distance = [Num]yards
5.
An arrow is shot with a velocity of 31 m/s at an angle of 55 degrees. What is the maximum height attained? What is the horiztonal projection?
Height = [Num] [Units]
Range = ____ [Num] ____[Units]
A putting green islocated 170 feet horizontally and 50 feet vertically from the tee. What must be the magnitude and direction of the initial velocity if a ball is to strike the green at this location after a time of 3.6 seconds?
Initial Velocity Magnitude = ___ [Num]ft/s
Initial Velocity Angle = ____ [Num]degrees
2.
An object is projected horiztonally at 14 m/s. At the same time, another object loacated 7 meters down range is dropped from rest. When will the two objects collide?
Time = _____[Num] _____[Units]
3.
A golf ball leaves the tee with a velocity of 60 ft/s at 35 degrees. If it lands on a green located 7 feet higher than the tee, what was the time of flight, and what was the horiztonal distance to the green?
Time = _____[Num] ____[Units]
Distance = ____ [Num] ____[Units]
4.
A football is thrown with an initial velocity of 43 mph at an angle of 39 degrees. How many yards down the field does the ball land?
Distance = [Num]yards
5.
An arrow is shot with a velocity of 31 m/s at an angle of 55 degrees. What is the maximum height attained? What is the horiztonal projection?
Height = [Num] [Units]
Range = ____ [Num] ____[Units]
Explanation / Answer
vox = x/T = 50/3.6 = 13.89 ft/s
y = voy*T + 0.5*T^2
170 = voy*3.6 - 0.5*9.8*3.6*3.6
voy = 64.86 ft/s
vo = sqrt(vox^2+voy^2) = 66.33 ft/s
angle = tan^-1(voy/vox ) = 78 degrees
------------------------------
2)
x = vx*T
T = x/Vx = 0.5 s
-----------------
3) y = voy*T + 0.5*g*T^2
7 = 60*sin35*T - 0.5*9.8*T^2
7 = 34.41T - 4.9T^2
T = 0.21s
x = vox*T = 60*cos35*T = 49.19*0.21 = 10.33 ft
-----------------
43 mph = 19.22m/s
4) R = vo^2*sin2theta/g = (19.22*19.22*sin78)/9.8 = 36.87 m
R = 40.32 yard <-----asnwer
5)
H = voy^2/2g = (31*sin55)^2/(2*9.8) = 32.9 m
Range R = vo^2*sin(2*theta)/g
R = (31*31*sin110)/9.8 = 92.15 m
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