Question

design and conduct an experiment that will enable you to derive an equation for the horizontal and vertical coordinates of a balls projectile motion . predict the following ; launch speed , predict the landing point from the launch speed , predict the landing point from t

Answer 1

Let V be the launching speed.

We can design and conduct a simple experiment of rolling a ball and making it fall from edge of a table.

while falling from edge,the ball will follow a projectile motion.

Now

Horizontal = x component of V

Vertical = y component of V

Magnitude of

In our experiment

Hence = Vx= V and Vy=0

let the mass of ball be = m

along Vertical direction = we have Gravitational force acting

along Horizontal Directiion = no Force acting .

Landing point will

a = 0 along x

In our experiment V_x=V

will be the landing point distance from edge of table horizontally.

in our experiment where H is Height of our table.

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Extra information

We can even derive more generic terms for horizontal distance(x)and time(t),with other experiments with different theta as

and