Which of the curves on the graph below best represents the vertical component v_y versus t for a projectile fired at an angle of 45 $\degree$ above the horizontal? A) OC B) DE C) AB D) AE E) AF

Question

Quizplus · Accepted Answer

The vertical component of a projectile's velocity at launch is v0*sin(θ), where θ is the launch angle and v0 is the initial velocity. Since the projectile is fired at an angle of 45 degrees, the vertical component of its velocity is initially v0*sin(45) = v0/√2. As the projectile travels, the vertical component of its velocity changes due to gravity. At the highest point of the trajectory (when the projectile is directly above the launch point), the vertical component of its velocity is zero. Therefore, the graph should start at a maximum value and decrease to zero before increasing again as the projectile falls back to the ground. Only curve D matches this description.

Which of the Curves on the Graph Below Best Represents °\degree°

Which of the Curves on the Graph Below Best Represents $\degree$