Answer:
d)
Explanation:
a) decreasing the mass to m/2. FALSE. Mass doesn't influence the equations of accelerated motion.
b) decreasing the height to h/2. FALSE. From a lower initial height the projectile will reach the ground faster.
c) increasing the initial horizontal velocity to 2vx. FALSE. The horizontal and vertical components are independent, and time of flight is dependent only on vertical conditions in this case.
d) increasing the height to 2h. TRUE. From a higher initial height the projectile will reach the ground later.
The only way to increase the time of flight is to increase the height traveled by the projectile to 2h.
The given parameters;
The time of flight of the projectile is calculated as follows;
[tex]h = v_yt + \frac{1}{2} gt^2[/tex]
where;
[tex]v_y[/tex] is the initial vertical velocity of the projectile = 0
[tex]h = \frac{1}{2} gt^2\\\\gt^2 = 2h\\\\t = \sqrt{\frac{2h}{g} } \\\\[/tex]
Thus, the only way to increase the time of flight is to increase the height traveled by the projectile to 2h.
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