Question 1 A dolphin jumps straight into the air during a performance. The dolphin's height y (in feet) after t seconds can be modeled by y = −16t2+24t. a. How many seconds is the dolphin in the air? The dolphin is in the air for seconds. Question 2 b. The dolphin reaches its maximum height after 0.75 second. What is the maximum height of the jump? The height of the dolphin is feet (above water level) at 0.75 second.
When the dolphin re-enters the pool height (y) = 0
solve 0 = -16t^2 + 24t for t
another way......note that the dolphin reaches a peak at .75 sec..... another .75 sec brings the dolphin back down .75 + .75 = 1.5 sec
Max height occurs at .75 sec max height = -16(.75)^2 + 24 (.75) feet