Asoccer player takes a free kick from a spot that is 17 m from the goal. the ball leaves his foot at an angle of 38 ∘, and it eventually hits the crossbar of the goal, which is 2.4 m from the ground. question: at what speed did the ball leave his foot?

.

Explanation:

This is a projectile motion problem, so for solving it, we will require some equations of uniform motion and free-fall.

First, we need to recognize the data that we have so we can start solving the problem.

For Free -Fall:

For uniform motion:

The time that takes to the ball to travel 17m horizontally and to hit the crossbar at 2.4m of height is the same, so time is a common variable for free-fall and uniform motion.

Using the equations:

and

and noticing that

and

,

we obtain

and

wich is a system of two equations and to variables that can be easily solve.

Making

we get

,

,

,

,

so

,

now the speed can be easily compute from one of our equations. Using

,

,

.

carla slowed down in the beginning of her trip, stopped, and then sped up

the cellphone, they would then know if the killer would have contacted them or always hated them. or if it was a breakup. but if that is not the case, then it would be the clothing. to put in a bullet, it would have to be put in by hands. hands have finger prints which, would have giving you the answer of who done it.

explanation: