SAT Math Multiple Choice Question 102: Answer and Explanation

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Question: 102

12. Students in a physics class are studying how the angle at which a projectile is launched on level ground affects the projectile's hang time and horizontal range. Hang time can be calculated using the formula t = ,where t is the hang time in seconds, v is the initial launch velocity, θ is the projectile angle with respect to level ground, and g is the acceleration due to gravity, defined as 9.8 m/s2. Horizontal range can be calculated using the formula R = , where R is the distance the projectile travels from the launch site, in feet. Which of the following gives the value of v, in terms of R, t, and θ ?

  • A. v =
  • B. v =
  • C. v =
  • D. v =

Correct Answer: C


t/R = /

Then v =

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