Plz help! Actually Answer plz!
1 answer:
9514 1404 393
Answer:
time to max height: 2.5 seconds
max height: 104 ft
range of function: [4, 104]
Step-by-step explanation:
The equation for ballistic motion is ...
h(t) = -16t^2 +v0·t +h0 . . . . where v0 is the initial upward speed and h0 is the initial height
For the given parameters, the height function is ...
h(t) = -16t^2 +80t +4
The time for maximum height is ...
-b/(2a) = -80/(2(-16)) = 2.5 . . . seconds
The maximum height is ...
h(2.5) = (-16·2.5 +80)(2.5) +4 = 104 . . . feet
The range of the function is from the minimum height (at launch) to the maximum height:
4 ft ≤ h(t) ≤ 104 ft.
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Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,
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The given expression in the problem is,
Equivalent expression is the expression which is equal to the original equation but the way of representation is different.
The given equation is,
As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.
Check all the option,
- 1) The expression given in the option 1 is,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.
- 2) The expression given in the option 2 is,
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The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.
- 3) The expression given in the option 3 is,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.
- 4) The expression given in the option 4 is,
The expression of the option 4 is not equivalent to the expression given in the problem.
- 5) The expression given in the option 4 is,
The expression of the option 5 is not equivalent to the expression given in the problem.
Hence the equivalent expression of the given expression are,
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