Example Question #2 : Mechanics
Near the surface of the earth, a projectile is fired from a canon at an angle of degrees above the horizon and an initial velocity of meters per second. Which of the following expressions gives the time it takes the projectile to reach its maximum height?
At the maximum height of projectile motion, and because this takes place near the surface of the earth we know which we can plug into the equation:
We can then rearrange for
Next substitute this value into the equation to get the correct answer