from the point directly beneath you at a constant velocity of π£π=2.50 m/s .
You want to calculate the time it takes for the ball to reach your friend. To do this, you can use the following equation:
π‘=ππ₯/π£π₯
where π‘ is the time, ππ₯ is the horizontal distance, and π£π₯ is the horizontal velocity.
First, let's find the horizontal distance ππ₯ . We can use the equation:
ππ₯=π£0cos(π)π‘
where π£0 is the initial velocity and π is the angle above the horizontal.
Substituting the given values, we have:
ππ₯=8.60cos(34.0β)π‘
Next, let's find the horizontal velocity π£π₯ . We can use the equation:
π£π₯=π£0cos(π)
Substituting the given values, we have:
π£π₯=8.60cos(34.0β)
Now, we can substitute the values of ππ₯ and π£π₯ into the equation for time:
π‘=(8.60cos(34.0β)π‘)/(8.60cos(34.0β))
Simplifying the equation, we have:
π‘=π‘
Therefore, the time it takes for the ball to reach your friend is equal to the time it takes for the ball to reach your friend.