Answer:
a)
a = 1/5
b = 1/3
b)
x(1/3) = 2.500
y(1/3) = 2.598
c)
x'(t) = -5π sin(π t)
d)
x'(1/3) = -13.603
Explanation:
Hi!
a)
We can notice that
x(t)/5 = cos(πt)
y(t)/3 = sin(πt)
Therefore:
( x(t) / 5 )^2 + ( y(t) / 3 )^2 = cos^2(πt) + sin^2(πt) = 1
That is:
a = 1/5
b = 1/3
b)
At t=1/3
x(1/3) = 5 cos(π/3)
y(1/3) = 3 sin(π/3)
But
cos(π/3) = 1/2 = 0.5
sin(π/3) = √3 / 2 = 0.866
That is:
x(1/3) = 2.5
y(1/3) = 2.598
c)
The horizontal velocity is:
x'(t) = -5π sin(π t)
d)
at time t =1/3
x'(1/3) = -5π sin(π/3) = -13.603
You can't get something from nothing is practically stating the law. The law means states that energy can't be created or destroyed, in other words, it's constant. So in saying so, you truly can't get something from nothing
The answer is A. an object that allows some light to pass through
Answer:
426.84 m
Explanation:
initial velocity u = 0
time t = 3.3 s
distance travelled s = 53.4 m
acceleration due to gravity = g
s = ut + 1/2 g t²
53.4 = 0 + 1/2 g x 3.3²
g = 9.8 m /s²
For the whole length of fall
distance travelled = h
total time = 6.6 + 3.3 = 9.9 s
h = ut + 1/2 g t²
u again = 0
h = .5 x 9.8 x 9.9²
= 480.24 m
distance travelled in last 6.6 s
= 480.24 - 53.4
= 426.84 m
