Reference no: EM131245354
Q1. A bird is flying horizontally over level ground at a steady known speed v (m/s). As it flies, bird releases a stone ("drops" it) from its beak. The stone then falls freely as a projectile. The stone makes half of its total altitude change during the final t seconds of its fall. What was the average velocity of the stone over the time interval when it was a projectile?
Q2. Two particles, A and B, move in the x-y coordinate plane, according to these time functions (all lengths are in meters, and all times are in seconds):
vA(t) = [4t, 2] m/s rA(0) = [-7, 3] m rB(t) = [11, t2] m
a. For 0 ≤ t ≤ 2.00 s, find aB.avg.
b. Find vAB(2).
c. Do these particles ever collide? If so, when and where? If not, how do you know they don't? (Show all your work, regardless of your conclusions.)
Q3. Two particles, A and B, move along the x-axis. Their motions are graphed here
Evaluate (T/F/N) each of the following statements. As always, you must fully justify your answer with some valid combination of words, drawings, equations, etc.
a. xA(t1) > xB(t1)
b. aA.x(t2) ≈ aB.x(t2)
c. vBA(t3) is in the -x-direction.
Q4. Refer to the diagram. ∠0° is defined to the right; ∠90° is vertically upward; ∠-90° is vertically downward.
Projectile A is launched at a known velocity vi.A∠ θi.A from point A at the top of a cliff of height, H. (0 < θi.A < 90°)
Projectile B is launched (at some unknown velocity and moment) from point B at the cliff's base.
The projectiles collide at a known height h, which is the peak height for projectile B (and note that h < H).
Find the impact velocity, vBA (both magnitude and angle).
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What was the average velocity of the stone
: A bird is flying horizontally over level ground at a steady known speed v (m/s). As it flies, bird releases a stone ("drops" it) from its beak. What was the average velocity of the stone over the time interval when it was a projectile
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