# Homework Help: Free falling body

1. Jul 1, 2007

### Edwardo_Elric

1. The problem statement, all variables and given/known data
A lunar lander is making its descent to the moon Base I. THe lander descends slowly under the reto-thrust of its descent engine. The engine is cut off when the lander is 5.0m above the surface and has a downward speed of 1.5m/s. With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is 1.6m/s^2

2. Relevant equations
i used
$$V^2 = V_0^2 + 2g(y - y_0)$$

3. The attempt at a solution
required is speed:
$$V = \sqrt{(1.5m/s)^2 + 2(1.6m/s^2)(5.0m)}$$
Speed = 4.27m/s

i dunno about this but what im confused is that will the gravity be positive when you need a scalar?

2. Jul 1, 2007

### PhanthomJay

Velocity, acceleration, and displacement are vector quantities. You chose downward as the positive direction. You could have chosen downward as the negative direction, in which case your equation would have read:
$$V = \sqrt{-1.5m/s)^2 + 2(-1.6m/s^2)(-5.0m)}$$
and you get the same result for V.

3. Jul 1, 2007

### Edwardo_Elric

are u sure?
and thanks alot
speed is velocity in this problem?

Last edited: Jul 1, 2007
4. Jul 1, 2007

### PhanthomJay

No, the velocity is 4.27m/s downward. The speed is the magnitude of the velocity, or 4.27m/s.