The equation is s=144t - 16t², s being the distance and V=144 ft/s
a)The maximum (or minimum) is reached when the derivative of s = 0
s' = 144 - 32t = 0 and t= 9/2 or 4.5 second (time needed to reach the max
Now plug t= 4.5 in the original equation and you will find s = 324 ft
(Why it's a max and not a minimum: because 2nd derivative is negative and equals s" = -32)
b) Velocity of the ball: distance (up) s=320 ft, time that means:
320 =144t - 16t² (solve for x) -16t²+144t-320 = 0, t₁ =4 and t₂ =5 (t₂ is not valid since max time to reach summit is 4.5) so t =4s , distance = 320. so the velocity at 320ft is 320/4 = 80 ft/s
c) Due to the symmetry of the parabola, the velocity at 320 ft on its way down = 80 ft/s
Answer:
6081 (original 1806)
Step-by-step explanation:
to get from 1/6 to 7 you must multiply by 42
then you multiply 42 by 43
42 * 43 = 1806
the answer is 1806 but the unlock code is backwards so its 6081
Answer:
- A
- A
- C
- B
- C
- 7
Step-by-step explanation:
<u>Q1</u>
A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.
<u>Q2</u>
Data plotted against the frequency in a histogram is class interval.
<u>Q3</u>
The data plotted against the frequency in an ogive is cumulative frequency.
<u>Q4</u>
A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.
<u>Q5</u>
Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11
Mean = 4 + 7 + 21 + 21 + 24 / 11
Mean = 77/11
The mean is 7
<u>Q6</u>
The median is the middle term.
The median of the distribution is 7
Answer:
domain {- 5, 5 }
Step-by-step explanation:
given values in the range, that is values of y then to find the domain equate f(x) to the given values in the range, that is
x + 5 = 0 ⇒ x = - 5
x + 5 = 10 ⇒ x = 10 - 5 = 5
domain is x ∈ { - 5, 5 }
Answer:
x > -4
Step-by-step explanation:
I just looked it up
But I know this is it
