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?

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4 Comments to How do I calculate a motion in two dimensions problem in physics?

nojuicy
June 4, 2009

You need to finish the question my friend. There is no way to tell the height of the building without a reference to how high the brick is in the air.

me
June 8, 2009

Just remember your kinematics equations, and remember that motion in the x direction can be separated from the motion in the y direction. (don’t forget to separate your initial speed into x and y components, also)

Cory W
June 8, 2009

first find the vertical velocity.
Vy=v*sin(theta)
Vy=15sin(25)
Vy=6.339m/s

then use the equasion of motion.
x(t)=x+vt+(1/2)at^2
x(3s)=0+(6.339)(3)+(1/2)(9.81)(3^2)
x(3s)=63m

Al P
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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