An object thrown straight upward reaches a height of 10 meters. If the object is thrown upward with twice this speed, it will reach a height of m.

If the object is thrown upward with twice the initial speed, it will reach a height of 40 meters.

Explanation:

Based on the Principle of Energy Conservation we find that the square of the initial speed of the object (), measured in meters per second, is directly proportional to its change in height (), measured in meters. That is:

(Eq. 1)

Where is the proportionality constant, measured in meters per square second.

Such constant is eliminated by using the following relationship:

(Eq. 2)

Where:

, - Initial and final speed of the object, measured in meters per second.

, - Initial and final changes in height, measured in meters.

If we know that and , then the change in height is:

If the object is thrown upward with twice the initial speed, it will reach a height of 40 meters.

c. magnitude and direction