1 answer:
Answer:
- 2 seconds
- 72 feet
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
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For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
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Answer:
The number of follower after x years is 40,000
Step-by-step explanation:
Given as :
The number of current followers = p = 40,000
The rate of growth of follower = r = 2.5%
The time period of growth = t = x years
Let The number of follower after x years = A
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<u>Now, According to question</u>
The number of follower after x years = number of current followers ×
Or, A = p ×
Or, A = 40,000 ×
Or, A = 40,000 ×
So, The number of follower after x years = A = 40,000 ×
Hence, The number of follower after x years is 40,000 Answer