Question

For an object being launched at ground level at a tilted non-zero initial velocity, is the...

  1. For an object being launched at ground level at a tilted non-zero initial velocity, is the velocity zero anywhere? Are the horizontal or vertical components of the velocity zero at any point?

  1. What is the shape of this trajectory? (Use the mathematical term).

  1. If an object is launched with a strictly horizontal initial velocity, what is the vertical component of the initial velocity?

  1. Will an object take longer, less, or the same amount of time to reach the ground if it is dropped from rest rather than launched with a strictly horizontal initial velocity? Try using the simulation to help you determine this. For the free fall simulation, have the cannon point downwards and set the initial velocity to 0 m/s. Use the time, range, height sliding tool to determine the amount of time it took for the cannon to reach the ground. For the horizontal launch, change the angle to 0 degrees and give the cannon an arbitrary non-zero initial velocity. Again use the time, range, and height sliding tool to determine the amount of time it takes for the cannon to reach the ground. Compare these times.

  1. With a strictly horizontal launch (with an angle of 0 degrees from the horizontal), how does the initial velocity affect the trajectory (specifically the range)? Use the simulation to help you obtain your answer.

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