The graph represents the path of an object thrown with a horizontal velocity from a certain height. what is the form of the graph?
a. a parabola with the vertex at (0,0) and a negative value for a
b. a parabola with the vertex at (0,0) and a positive value for a
c. an inverse graph
d. a linear graph

A. a parabola with the vertex at (0,0) and a negative value for a

Explanation:

The path of an object thrown with a horizontal velocity from a certain heigth is the path of a projectile, and it is a parabolic path. It is the resultant of two independent motions:

- a horizontal uniform motion, with constant horizontal velocity

- a vertical accelerated motion, with constant acceleration (equal to the gravitational aceleration) towards the ground

Due to the fact that conventionally the positive direction of the vertical axis is taken as upward, the acceleration of the vertical motion is directed downward, so toward negative direction, so the value of a (acceleration) is negative.

t2 equal the displacement of the particle over the same time period if t2> t/2? hint: consider a sine wave starting at t1=0, then consider a closing wave starting at t1=0, for your explanatio