The height $h$ (in feet) of an object $t$ seconds after it is dropped can be modeled by the quadratic equation $h=-16 t^2+h_0$, where $h_0$ is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation $h=-16 t^2+255$ for $t$, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
A. $t \approx 0.87 s$
B. $t \approx 4 s$
C. $t=8.5 s$
D. $t=16 s
Answer (2)
The depth of a pan can indeed affect the freezing of water, as ice forms an insulating layer from the top down. The expansion of water upon freezing, increasing in volume by 9.05%, can cause significant force and damage to containers. Understanding these properties is important for natural ecosystems and practical applications. ;
The depth of a pan impacts how water freezes because freezing occurs from the top down and ice insulates liquid water beneath it. Shallow pans may freeze quicker due to a higher surface area to volume ratio, while deeper pans allow for liquid water to remain below the ice. Overall, environmental factors and pan material also influence the freezing process.
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