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:
<h2>
40°</h2>
Step-by-step explanation:
120 = 3x
x = 120 : 3
x = 40°
Ok so 3cm/1m so 25 m times 3 cm is the answer so the answer is 75 cm
Answer:
1, -5, -14
Step-by-step explanation:
Domain is the x-axis, and range is the y axis.
So plug in the x values (domain values) to the equation.
Answer:
it's true
A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0
