When a football in a field goal attemp reaches its max height how does its speed compare to its inital speed?
a)it's zero
b) it is less than its inital speed
c)it is equal to its inital speed
d)it is greater than its inital speed
since at the max height v=0 isn't the answer a)?
The vertical velocity is zero at max height, but the horizontal component is constant (neglecting air resistance).
Yes, you are correct. At the maximum height of a projectile, the vertical velocity (speed) is zero. This means that the answer is a) it's zero.
To understand why the vertical velocity is zero at the maximum height, we can consider the concept of projectile motion. When a football is kicked, it follows a curved trajectory called a parabola. As the football moves upward, its vertical velocity decreases due to the effect of gravity pulling it downward. At the highest point of the trajectory, the vertical velocity becomes zero because the football stops momentarily before starting to fall back down.
Keep in mind that the horizontal velocity (speed) remains constant throughout the flight of the football, as there is no force acting to change its horizontal motion. So, while the vertical speed is zero at the maximum height, the horizontal speed remains the same as its initial speed.