Somewhere you're given the equation for height as a function of time:
... h(t) = -16t² + v₀·t . . . . . . where v₀ is the initial vertical velocity in ft/s
For v₀ = 224, this becomes
... h(t) = -16t² + 224t
And this can be rewritten in vertex form as
... h(t) = -16(t² + 14t)
... h(t) = -16(t² + 14t +7²) +16·7² . . . . . complete the square (add the square of half the t coefficient inside parentheses; add the opposite of that amount outside parentheses)
... h(t) = -16(t +7)² + 784
The vertex of this downward-opening parabola is (7, 784), so ...
The rocket reaches its maximum height at 7 seconds.
The maximum height of the rocket is 784 feet.
11.5 ft2 I’m pretty sure lol
At constant acceleration the equation is
v = u + at where u = initial speed, a = acceleration. t = time and v = final speed
So here we have 18 = 0 + 7t
t = 18/7 = 2.6 seconds ( to nearest tenth)
Answer:
Step-by-step explanation:
The gradient equation is given as y=mx-c where m is the gradient(slope) and c is the intercept
From the equation you gave as 3x+y=5
y=-3x+5
The intercept is 5
The slope is -3
Don't mention it
The amount of money Robert has this week after buying gas is $172.
<h3>Define arithmetic.</h3>
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the fundamental mathematical operations. The symbols shown above stand in for these procedures.
Given Data
Robert usually earns $95 per week for mowing lawns.
Amount = $95
This week, he doubled his normal earnings,
Amount = $95 × 2
Amount = 190
but, spent $18 on gas for his lawnmower.
Amount = $190 - $18
Amount = $172
The amount of money Robert has this week after buying gas is $172.
To learn more about arithmetic, visit:
brainly.com/question/11559160
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