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J.J. Watt of the Houston Texans is known for blocking the opposing quarterbacks' passes to the opposing wide receivers. The opposing quarterback needs to throw a pass at a 20° angle, but J.J. Watt is in the way. What other angle could he throw the ball so that it will not be blocked by J.J. Watt and still reach the intended receiver?

A. 70 degrees
B. 110 degrees
C. 45 degrees
D. 30 degrees

User NickChase
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1 Answer

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Final answer:

To avoid J.J. Watt's block when a 20° throw angle is not viable, the quarterback could opt for a higher throw angle of 70°. This angle would send the ball on an arcing path over the defender, similar to when a rugby player passes the ball across the field at two possible angles for the same range.

Step-by-step explanation:

The question involves understanding projectile motion in the context of a football game. J.J. Watt blocking the pass represents an obstacle that the quarterback must consider when choosing the throw angle to bypass the block. Since a 20° angle is blocked, the quarterback needs to select a different angle that would allow the football to reach the wide receiver. The path of a projectile depends on the angle of launch; a steeper angle like 70° could avoid a defender who is blocking low-angled throws, while a wider angle like 110° is not feasible as it lies outside the possible range of 0° to 90° for projectile motion.

For example, a rugby player who passes the ball 7.00 m across the field and is caught at the same height has two possible angles of throw: one smaller and one larger. These angles provide the same horizontal range. If we assume that the smaller angle (which is close to the ground) could be similar to the 20° angle that is already blocked, the larger angle would be the alternative since it provides a higher trajectory over the defender.

Therefore, Option A (70 degrees) could be the alternative angle for a quarterback to throw a ball in an arcing path over a defender like J.J. Watt, provided the ball still reaches the intended receiver.

User Kornieff
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