Physics Graphs: Projectile Motion

General Questions

How far horizontally from its initial position does the projectile land?

Is the projectile being accelerated as it passes through point A?

Our graph of altitude vs. time is a parabola with symmetry about t = 2 seconds. If the altitude at J (1, 14.7) is 14.7 meters, what is its altitude at t = 3 seconds?

On the graph, the slope of the tangent drawn at point J represents the projectile's instantaneous velocity, v_J. To one decimal place, the lower point on the "tangent triangle" is (0.40, 12.2) and the upper point is (1.2, 20.0). Based on this coordinates, what would be our best estimate of the value of v_J?

Our graph of altitude vs. time is a parabola with symmetry about t = 2 seconds. If the instantaneous velocity at J (1, 14.7) is v_J, what is its instantaneous velocity at t = 3 seconds?

How high is position A, the apex?

What is the total distance traveled by the projectile from its initial release position to it location at t = 3 seconds?

What is the net displacement of the projectile from its initial release position to it's location at t = 3 seconds?

We can use the equation

to model the motion of our projectile.

For any object in freefall, there is negligible air resistance and we use the value of a = -9.8 m/sec², or a = -g, for its acceleration.

Using this value for acceleration and the data from our graph and previous answers, find the original velocity (the variable v_o in our formula) with which the projectile was initially launched.

10.