Answer :
To determine the Initial speed of a football, we need to analyze the horizontal and vertical components of its motion.
To determine the initial speed of the football, we need to analyze the horizontal and vertical components of its motion. At an angle of 45 degrees with the horizontal, we can split the initial velocity into two components: one in the horizontal direction and one in the vertical direction. The horizontal component remains the same throughout the motion, while the vertical component is influenced by gravity.
Since the ball was in the air for 10 seconds and landed 4000 meters away, we can use the equation for horizontal displacement, which is given by:
Horizontal displacement = Horizontal component of initial velocity * Time
Therefore, the horizontal component of the initial velocity is 4000 meters / 10 seconds = 400 meters per second.
Since the ball was kicked at an angle of 45 degrees with the horizontal, the vertical component of the initial velocity is the same as the horizontal component. So, the initial speed of the football is 400 meters per second.
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