You use a slingshot to launch a potato horizontally from the edge of a cliff with speed v0. The acceleration due to gravity is g. Take the origin at the launch point. Suppose that +y-axis is directed upward and speed v0 is in the +x-direction. How long after you launch the potato has it moved as far horizontally from the launch point as it has moved vertically?

 t = 2 v₀ / g

Explanation:

For this projectile launch exercise we use the displacement equations

        x = vox t

       y = y₀ + t - ½ g t²

As it is launched horizontally the vertical velocity is zero and the point of origin of the coordinate system is here, so y₀ is zero.

       x = v₀ t

       y = ½ g t²

They ask us for the time for which

        x = y

        vo t = ½ g t²

         t = 2 v₀ / g

the focus of lesson 1 is newton's first law of motion - sometimes referred to as the law of inertia. newton's first law of motion is often stated as. an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

explanation: