Q:

pls help me on this math question.I am really confused

Accepted Solution

A:
Answer:640 mStep-by-step explanation:We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.In the additional 2 time units (8 seconds), the ball dropped an additional ... (720 -80) m = 640 m_____Alternate solutionYou can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...... d = kt²Filling in the information related to the first 4 seconds, we have ...... 80 = k(4)²... 80/16 = k = 5Then the distance equation becomes ...... d = 5t²After 12 seconds (the first 4 plus the next 8), the distance will be ...... d = 5×12² = 5×144 = 720 . . . metersThat is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.