POSSIBLE POINTS: 12 Performance Task #2
Armand is monitoring a large sealed tank by way of a sensor that records the liquid level over time on a graph. He looks at the graph and
claims that the sensor indicates there are waves in the liquid in the tank.
Tank Liquid Level vs. Time
116
113
NA
110
0.5
1.0
1.5
Time (s)
ANSWER PART 1 PART 2 AND PART 3:
• PART 1: EXPLAIN how Armand knows that there is a wave in the tank.
• PART 2: FIND the amplitude, in centimeters, and frequency, in cycles per second, of the wave.
• PART 3: Waves transmit energy from one place to another. IDENTIFY two properties of waves that affect the energy transmitted by a
wave

Arunner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. the runner starts at (x, y) = (50 m, 0 m) and runs 2.5 times around the track in a clockwise direction.

What is the orbital period of a spacecraft in a low orbit near the surface of mars? the radius of mars is 3.4×106m.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.