How do I calculate a motion in two dimensions problem in physics?
Wednesday, June 3rd, 2009 | Physics
Matthew S asked:
I need help solving this problem in physics dealing with motion in two dimensions. A brick is thrown upward fro the top of a building at an angle of 25 degrees to the horizontal with an initial speed of 15 m/s. If the brick is in flight for 3.0s, how tall is the building?
I need help solving this problem in physics dealing with motion in two dimensions. A brick is thrown upward fro the top of a building at an angle of 25 degrees to the horizontal with an initial speed of 15 m/s. If the brick is in flight for 3.0s, how tall is the building?
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4 Comments to How do I calculate a motion in two dimensions problem in physics?
June 8, 2009
June 8, 2009
June 10, 2009
Vx:
15* Cos( 25) =13.59 m/s
Vy:
15* Sin( 25)=6.339 m/s
tup=6.33927/9.8 = 0.64686 s
tdown = 0.64686 s “to level of building”
time to ground from top of building:
3-(2*0.64686) = 1.7063
vo = vy= - 6.339 m/s
h=vo*t+(1/2)*g*t^2
how tall is the building?
h=
6.339* 1.7063+(1/2)*(9.8)*1.7063^2 = 25.0824 meter
Edit: *******
Here’s the check:
v = 15 m/s
angle = 25 degrees
yo = 25.0824 m “height of building”
vx = v * Cos(a) = 13.5946 m/s
vy = v * Sin(a) = 6.33927 m/s
tup = Vy / 9.8 =0.646864686320505 s
h = yo + Vy * tup + 0.5 * g * tup ^ 2 = 27.1327 m
tdown = Sqr(2 * h / 9.8)= 2.3531449s
T = tup + tdown = 3.0000096 s ******
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