The measure of angle BCD is 32 degrees
<h3>How to determine the value of BCD?</h3>The image of the parallelogram that completes the question is added as an attachment.
The given parameter is:
m<DAB = 32 degrees
From the attached image, we can see that BCD and DAB are opposite angles.
Opposite angles of a parallelogram are equal.
So, we have:
BCD = 32 degrees
Hence, the measure of BCD is 32 degrees
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Let denote the rocket's position, velocity, and acceleration vectors at time
.
We're given its initial position
and velocity
Immediately after launch, the rocket is subject to gravity, so its acceleration is
where .
a. We can obtain the velocity and position vectors by respectively integrating the acceleration and velocity functions. By the fundamental theorem of calculus,
(the integral of 0 is a constant, but it ultimately doesn't matter in this case)
and
b. The rocket stays in the air for as long as it takes until , where
is the
-component of the position vector.
The range of the rocket is the distance between the rocket's final position and the origin (0, 0, 0):
c. The rocket reaches its maximum height when its vertical velocity (the -component) is 0, at which point we have