Moderate

The range of the projectile at 30 deg and 60 deg are__________________?

Correct answer: C. equal to each other

  • A. equal to 45 deg
  • B. equal to 90 deg
  • C. equal to each other
  • D. none of the above

Explanation

The range of a projectile is R = u² sin(2θ)/g. For 30 degrees, R = u² sin(60 degrees)/g, and for 60 degrees, R = u² sin(120 degrees)/g; since sin(60 degrees) = sin(120 degrees), the two ranges are equal. The likely mistake is choosing 45 degrees because 45 degrees gives the maximum range, but it is not required for two complementary angles to have equal ranges.

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About Projectile Motion

Projectile motion combines uniform horizontal motion with vertically accelerated motion under gravity, assuming air resistance is neglected. Questions use the components of initial velocity to find time of flight, maximum height, horizontal range and position, while distinguishing projectile motion from general circular or one dimensional motion.

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