Question

The fire department is Setting off fireworks. The casing of the firework hit the ground 78 seconds after the firework was launched. The fireworks exploded a maximum height of 760.5 m

label the x-intercepts, y-intercepts, and vertex.

Answer 1

To find the height at which the shell explodes and label the x-intercepts, y-intercepts, and vertex of the fireworks trajectory, we can use the kinematic equations of projectile motion.

Step-by-step explanation:

To find the height at which the shell explodes, we need to use the kinematic equations of projectile motion. Since the fuse ignites the shell at its highest point, the vertical displacement at this point is equal to the maximum height. Using the given information, we can calculate:

1. The y-intercept: The vertical displacement at the highest point (the vertex) is equal to the maximum height, which is 760.5 m.
2. The x-intercepts: The horizontal displacement at the vertex is given as 125 m.
3. The vertex: The vertex is located at (125, 760.5).