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MathHelpa
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I came across this one problem that asked for speed and velocity and I was wondering what the speed is suppose to be. I read somewhere that its the magnitude to velocity. So I want to see if I am doing this right.
A ball is launched off the top of a building. The initial velocity of the ball is v₀ = (v₀,0) and the initial height is H. What is the velocity and speed at the moment it hits the ground in terms of v₀,H and g?
y = v₀yt + 1/2at2
y = 0 + 1/2at2
t = √(2h/g)
vx = v₀
vy = voy + at
vy = 0 + at
vy = g√(2h/g)
|v| = √((g√(2h/g)2 + v₀2)
θ = tan-1(g√(2h/g/v₀))
v = √(g√(2h/g)2 + v₀2)m/s tan-1(g√(g√(2h/g)/v₀) positive below x axis.
So the question is the speed suppose to be sqrt(g√(2h/g)2 + v₀2)m/s??
A ball is launched off the top of a building. The initial velocity of the ball is v₀ = (v₀,0) and the initial height is H. What is the velocity and speed at the moment it hits the ground in terms of v₀,H and g?
y = v₀yt + 1/2at2
y = 0 + 1/2at2
t = √(2h/g)
vx = v₀
vy = voy + at
vy = 0 + at
vy = g√(2h/g)
|v| = √((g√(2h/g)2 + v₀2)
θ = tan-1(g√(2h/g/v₀))
v = √(g√(2h/g)2 + v₀2)m/s tan-1(g√(g√(2h/g)/v₀) positive below x axis.
So the question is the speed suppose to be sqrt(g√(2h/g)2 + v₀2)m/s??