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.
+37157 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
