Ball a is thrown vertically upwards with a velocity of v0 . ball b is thrown upwards from the same point with the same velocity t seconds later.
part a
determine the elapsed time t< 2v0/g from the instant ball a is thrown to when the balls pass each other .
express your answer in terms of some or all of the variables v0, t, and the acceleration due to gravity g .

The answer is

Explanation:

If the ball is thrown vertically, the equation of its position is

So setting our coordinate system in the position of throwing , the equation for A is

and for B

where

due to the delay of the throwing between A and B, "t"

.

Now, the balls passing each other means that

then

cancelling some terms...

so

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.