2) Emily buys a toaster during the sale for 10% off. If Ellen pays $36, what was the original price?
1 answer:
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Answer:
a)
v=<400, 450+3t, 600-9.81t> m/s
r=<400t, 450t+3/2, 15+600t-9.81
/2> m/s
b) attach file
c) t=122.324s
d) z=18369.9854 m
Step-by-step explanation:
a)
The equation for velocity of each component is v=+at, in this case the x-axis component has acceleration 0
, the y-axis component has acceleration 3
and the z-axis component has -g
, where g=9.81
.
The equation for position of each component is x=+
t+a
/2,
with <,
,
>=<0,0,15>.
c) This time is t when z=0, with positive sign.
d)Solving the equation =
+ 2*a*(z-
) for z, with
=0.
The perimeter of a rectangle is given by the formula,
We substitute,
and
into the above formula to obtain the expression,
We now group the x and y terms on the Left Hand Side of the equation to get.
We now divide through by 2 to get,
Therefore the width of the rectangle is