If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 75
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Answer:
maximum height reached = 35 feet
and
Step-by-step explanation:
writing linear motion equations
where s is the total displacement, u the initial velocity, t the time travelled, and a is the acceleration.
given u = 48 ft/s, and a = acceleration due to gravity g = -9.8
1 m = 3.28 feet therefore g becomes -9.8×3.28
here negative sigh comes as acceleration due to gravity is in opposite direction of initial velocity.
therefore f(t) becomes
to find max height we should find differentiation of f(t) and equate it to 0
therefore we get 48 = 32.144t
t = 1.49 s
therefore max height f(1.49) = 71.67-36.67 = 35 feet