A boy climbs to the roof of his house and throws a rock at a horizontal velocity of 11.5 m/s. The rock lands on the ground, 15.3 m from the base of the house. How high is the roof of the house?

The roof of the house is 8.67 m high

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

The boy is on the roof of his house and throws a rock horizontally at v=11.5 m/s. It lands on the ground d=15.3 m from the base of the house. We can use the above equation to find the height of the roof by solving it by h:

Substituting values:

h=8.67 m

The roof of the house is 8.67 m high

the components of a vector are the parts of the vectors that are to each other.

b perpendicular