# I in verticle motion

• heaven eye
In summary, a child threw two cubes vertically upwards with the same velocity (v). After five seconds, the two cubes collided at a height of 9 meters. To find the velocity of the two cubes, you can use the equations of motion in vector form and choose an axis for the movement to calculate the time of collision. This is just the beginning, but it's an essential step in finding the final answer.

#### heaven eye

child play with cubes , he threw first one vertically to up with velocity of (v), after five seconds he threw second cube vertically to up with the same velocity , two cubes collided at 9 meter height what the velocity of two cube? (they are the same!)

and thank you all again , again , and again :tongue: .

heaven eye said:
child play with cubes , he threw first one vertically to up with velocity of (v), after five seconds he threw second cube vertically to up with the same velocity , two cubes collided at 9 meter height what the velocity of two cube? (they are the same!)
You want to use $$s = ut + \frac{1}{2}at^2$$ and $$v^2 = u^2 + 2as$$ setting s to 9 each time. Then the two equal each other and you can find a time as you know the acceleration and the time in each case.

Last edited:
You should write the equation of motion in vector form

$$\vec{r}(t)=\vec{r}_{0}+\vec{v}_{0}t+\frac{1}{2}\vec{a}t^{2}$$

and then choose an axis along which the movement takes place,an origin for this axis, then a sense on this axis and then do the projection of the vector equality on this axis...

This is just the beginning,but it's essential.

Daniel.

## What is vertical motion?

Vertical motion refers to the movement of an object in a straight line along the y-axis, typically in response to gravity.

## What is the equation for vertical motion?

The equation for vertical motion is y = y0 + v0*t - 1/2*g*t^2, where y is the final position, y0 is the initial position, v0 is the initial velocity, g is the acceleration due to gravity, and t is the time.

## What is the difference between velocity and acceleration in vertical motion?

Velocity is the rate of change of an object's position, while acceleration is the rate of change of an object's velocity. In vertical motion, acceleration is typically constant due to the constant force of gravity, while velocity can change over time.

## How does air resistance affect vertical motion?

Air resistance, also known as drag, can affect vertical motion by slowing down an object's descent. This is because air molecules push against the object, creating an opposing force that acts against the force of gravity.

## What is terminal velocity in vertical motion?

Terminal velocity is the maximum velocity an object can reach when falling due to the balance between the force of gravity and air resistance. At this point, the object will no longer accelerate and will fall at a constant speed.