TP 4.16
Given:
x0 = 0, y0 = 9.00 m, x = 3.50 m, y = 0 (assuming that the origin of your coordinate system is located at the ground level)
q = 0
Find: v0
Physics: projectile motion
Solve:
vox = v0 cosq = v0 v0y = v0 sinq = 0 m/s Finding the time of flight: y = y0 + v0yt – ½ g t2 0 = y0 – ½ g t2 y0 = ½ g t2 t2= 2 y0 /g t = (2 y0 /g)1/2 t = 1.35 s Now let's look at the motion in x direction: x = x0 + v0x t x = v0 t v0 = x /t = (3.50 m)/(1.35 s) = 2.59 m/s
vox = v0 cosq = v0
v0y = v0 sinq = 0 m/s
Finding the time of flight:
y = y0 + v0yt – ½ g t2
0 = y0 – ½ g t2
y0 = ½ g t2
t2= 2 y0 /g
t = (2 y0 /g)1/2
t = 1.35 s
Now let's look at the motion in x direction:
x = x0 + v0x t
x = v0 t
v0 = x /t = (3.50 m)/(1.35 s) = 2.59 m/s