May’s class is testing their egg protection contraptions by dropping them off the roof of their school. Use GeoGebra to graph the situation using the formula y=−16t2+40

Question

. Which of the following correctly interprets the height of the school’s roof?Responses

41 feet
41 feet

40 feet
40 feet

15 feet
15 feet

20 feet
20 feet

Answer 1

To analyze the formula \( y = -16t^2 + 40 \), we need to understand what the variables represent:

• \( y \): the height of the egg at time \( t \) (in seconds),
• \( t \): the time in seconds after the egg is dropped,
• The term \( -16t^2 \) indicates that the egg is falling under the influence of gravity (with \( -16 \) representing half the acceleration due to gravity in feet per second squared),
• The constant \( 40 \) represents the initial height from which the egg is dropped.

In this equation, the initial height is given by the constant term, which is \( 40 \) feet.

Therefore, the correct interpretation of the height of the school’s roof is 40 feet.