A projectile is shot from the ground at an angle of #pi/4 # and a speed of #15 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
2 Answers
The distance is
Explanation:
Resolving in the vertical direction
initial velocity is
Acceleration is
At the maximum height,
We apply the equation of motion
to calculate the time to reach the greatest height
Resolving in the horizontal direction
To find the horizontal distance, we apply the equation of motion
Here in our case
When the projectile will reach maximum height
Velocity in
From this equation we get
Now time required to reach the highest point