In all of the following activities, keep the launch speed v(0) fixed and vary the launch angle q(0).

The "range" is the horizontal displacement of the projectile (ball) when it has fallen back down to the initial horizontal level, and the "time of flight" is the corresponding time elapsed.

The activities are in the form of multiple-choice statements. Use the applet to investigate which choices are correct, and try to explain your observations in terms of the theory of projectile motion. The equations describing projectile motion are summarized in "Equations" under Get Information. Close the present Activities window before accessing "Equations". Then close the Equations window before returning to the present Activities window.

Activities

• At what launch angle does the range have a maximum?
  1. 30^o
  2. 45^o
  3. 60^o
  4. 90^o

• If the launch speed is doubled, the vertical component of the launch velocity
  1. remains the same
  2. is doubled
  3. gets multiplied by sin q(0)
  4. is quadrupled

• If the launch speed is doubled, the time of flight
  1. is halved
  2. remains the same
  3. is doubled
  4. is quadrupled

• If the launch speed is doubled, the range
  1. is halved
  2. remains the same
  3. is doubled
  4. is quadrupled

• If the launch speed is doubled, the maximum height
  1. is halved
  2. remains the same
  3. is doubled
  4. is quadrupled