Answer:1. The number 5 in the equation represents the initial height of the rocket. It tells us that the rocket is launched from a position 5 units above the ground on the vertical axis of the graph.
2. The term 100t in the equation represents the vertical displacement of the rocket over time. Specifically, it tells us how high the rocket is above the ground at any given time t. For example, if t = 1 second, then 100t would be 100 units, indicating that the rocket is 100 units above the ground at that time.
3. The term -16t in the equation represents the effect of gravity on the rocket's vertical motion. The negative sign indicates that the rocket is moving downward due to gravity. The value 16 represents the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth. By multiplying this value by the time t, we can determine how much the rocket's height decreases due to gravity over time.
4. To find out when the rocket hits the ground, we need to set the height equation equal to zero and solve for t. This is because when the rocket hits the ground, its height is zero. So, we set -16t + 100t + 5 = 0 and solve for t. This equation can be simplified to -16t + 100t = -5, which further simplifies to 84t = -5. Dividing both sides by 84, we find that t is approximately -0.06 seconds. However, since time cannot be negative in this context, we can ignore this negative value. Therefore, the rocket hits the ground at approximately 0.06 seconds after it is launched.
Explanation: