9514 1404 393
Answer:
Step-by-step explanation:
To find miles per hour, divide miles by hours:
(15 mi)/(3 h) = 15/3 mi/h = 5 mi/h
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To find distance, multiply speed by time.
(5 mi/h) × (10 h) = 50 mi
Answer:
negative 5/7
Step-by-step explanation:
count up 5, count left 7
negative slope so negative 5/7
Answer:
maximum height is 4.058 metres
Time in air = 0.033 second
Step-by-step explanation:
Given that the equation height h
h = -212t^2 + 7t + 4
What is the toy's maximum height?
Let us assume that the equation is a perfect parabola
Time t at Maximum height will be
t = -b/2a
Where b = 7 and a = - 212
t = -7/ - 212 ×2
t = 7/ 424 = 0.0165s
Substitute t in the main equation
h = - 212(7/424)^2 + 7(7/424) + 4
h = - 0.05778 + 0.115567 + 4
h = 4.058 metres
Therefore the maximum height is 4.058 metres
How long is the toy in the air?
The object will go up and return to the ground.
At ground level, h = 0
-212t^2 + 7t + 4 = 0
212t^2 - 7t - 4 = 0
You can factorize the above equation and pick the positive time t since time can't be negative
Or
Since we have assumed that it's a perfect parabola,
Total time in air = (-b/2a) × 2
Time in air = 0.0165 × 2 = 0.033 s
C=πd ⇒ d = C/π = 28.27/3.14 ≈ 9 <span>inches</span>
