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.
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
Answer:
A
Step-by-step explanation:
7+7+3= 17