Projectile motion Transitional Reasoning Practice

Questions

1. 1.

   During a field exercise on flat ground, a rescue launcher fires a test projectile with an initial speed of 50 m/s at an angle of 53° above the horizontal. Assuming air resistance is negligible, at what vertical height above the launch point does the projectile's velocity vector make an angle of 45° with the horizontal while it is ascending? (Take $g = 10\text{ m/s}^2$, $\sin 53^\circ = 0.8$, and $\cos 53^\circ = 0.6$.)

   • A) 15 m
   • B) 20 m
   • C) 25 m
   • D) 35 m
2. 2.

   A field research team launches two small environmental sensors, Sensor X and Sensor Y, horizontally from two different vertical ledges above a flat valley floor. Sensor X is projected horizontally at a speed of 12 m/s from a height of 45 m. Sensor Y is projected horizontally from a lower ledge at a height of 20 m and lands at the exact same horizontal distance from the cliff base as Sensor X. Neglecting air resistance and taking $g = 10\text{ m/s}^2$, what is the initial horizontal launch speed of Sensor Y?

   • A) 8 m/s
   • B) 15 m/s
   • C) 18 m/s
   • D) 27 m/s

Answers and step-by-step solutions appear after you finish the test.