Let 
be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
where 
are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if 
, and we know that this happens after two hours, i.e. at 
Solving this equation for v we have
So, train A is travelling at 105 km/h. This implies that train B travels at
Answer:
Step-by-step explanation:
Hint: 1 - Cos² A = Sin² A
About 24 hours per 1 day
8/24=1/3
Answer:
(-∞, -6] U [-2, ∞)
Step-by-step explanation:
To solve this, begin by factoring this quadratic equation into its factored form:
x² + 8x + 12 ≥ 0 becomes (x+6)(x+2) ≥ 0.
x = -6, and x = -2 are the zeros of this parabola. Therefore:
(-∞, -6] U [-2, ∞) are the parts of the graph above y = 0 because the graph
opens upward.
** Remember, when the '≥' sign is present, the
square brackets must be used.
Answer:
31 feet.
Step-by-step explanation:
It is mentioned in the question that
Height of baseball expressed in feet
T = time in seconds
Also
Now the time is 3.5 so put this value to the above equation
h = -16(3.5)^2 + 64(3.5) + 3
= -16(2.25) + 224 + 3
= -196 + 227
= 31
Therefore the height of a baseball is 31 feet and the same is to be considered
