Barbara's gross earnings for the week ending on December 21 amount to \$1,100 . Her cumulative gross earnings for the year up th
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Answer:
a) The maximum height is approx 15.5 unit.
b) The time it will take for Joey to reach the water is 1.45 hour.
Step-by-step explanation:
Given : When Joey dives off a diving board, the equation of his pathway can be modeled by
To find : a) Find Joey's maximum height.
b) Find the time it will take for Joey to reach the water.
Solution :
Modeled ....(1)
a) To find maximum height
Derivate (1) w.r.t. t,
For critical point put h'=0,
Derivate again w.r.t. t,
It is maximum at t=0.46875.
Substitute t in equation (1),
The maximum height is approx 15.5 unit.
b) To find the time it will take for Joey to reach the water.
Put h=0 in equation (1),
Apply quadratic formula,
Here, a=-16 , b=15, c=12
Reject negative value.
The time is t=1.45.
The time it will take for Joey to reach the water is 1.45 hour.