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24 December, 14:35

4. Neglecting air resistance, which of the following trajectory angles (measured from the horizon) will result in the greatest horizontal distance traveled by a projectile? a. 10 degrees b. 40 degrees c. 70 degrees d. 90 degrees

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  1. 24 December, 16:14
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    b. 40 degrees

    Explanation:

    Range = (U²Sin2tita) / g

    Let's assume a constant velocity of 1 m/s and acceleration of 10 m/s² and try the following angles.

    For 10 degree

    Range = (sin20) / 10

    Range = 0.034m

    For 40 degrees

    Range = sin80/10

    Range = 0.098m

    For 70 degrees

    Range = sin140/10

    Range = 0.064

    For 90 degrees

    Range = sin180/10

    Range = 0

    Comparing the above result, we can see the degree with the highest range is degree 40.
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