Physics : Calculus Ia Section 2

4. You move 26m at an angle of 40.0º W of S. (a) How far south of your starting point are you? (b) How far west are you?

1. A boy is whirling a yo-yo above his head in a counter-clockwise direction. At the exact moment shown at left, he lets go of the string. In which direction will the yo-yo travel? Draw an arrow on the image to show the yo-yo’s direction.

Which of the following expressions gives the distance from the y-axis to the centroid of the area bounded by the two curves shown in the diagram?

axis be parallel to the ground and the positive y axis point upward. In the time interval from

By using Eq (4.4) we can calculate for a [a= m/M+m * g, a = (20 g /(283.2 g + 20 g)) * 9.81 m/s2= 0.646 m/s2]. The value of a (a= 0.5067 m/s2 +/- 0.01709 m/s2) we calculated for is not consistent with the expected value of 0.646 m/s2. As stated before, the probably cause of the inconsistency is the slight discrepancy during the experiment.

B. The particle changes directions when the velocity changes from positive to negative or from negative to positive. There is only one critical value and it occurs at t = 4.09624. Evaluating v(t), we see that on [0,10], v(t) < 0 for t < 4.096 and v(t) > 0 for t > 4.096 so the particle must change direction at t =

10. a) Linear motion is motion along a straight line like a car going 0-60 on a straight track.

If is the velocity function for a particle moving along the x-axis, for time seconds, tell … A. when the particle changes direction. for . B. for what intervals of time () the particle is moving to the left. C. for what intervals of time

2. A weather balloon is filled with helium gas. What do you think will happen to its volume when it reaches high altitude?

"a" _"k" "= " "1" /"T" ∫_"0" ^"T" ▒〖"f" ("x" ) "cos" ⁡〖"(" "πkx" ⁄"T" ")" 〗 "dx" 〗

x(t) is the displacement from its rest position in meters, m is the mass of the object in kilograms, β is the damping constant in kg/second, k is the spring constant in kg/sec2, and f(t) is the external force in Newtons (N). The mass of the satellite is 1800 kg and the satellite is at equilibrium when the trailer is loaded. Before the trailer is loaded, the displacement of the shocks is 0.05 meters, so the starting displacement is 0.05.

Test the C.N. using the first or second derivative and then answer the following questions:

How much longer did the balloon stay in the air? (Use subtraction to find the answer by subtracting the number of seconds when thrown minus the number of seconds when dropped.)

K2 = h * dynamics(X + 0.5 * K1, t + 0.5 * h, resting, stopped);

There is a balloon the shape and size of a beach ball. A string keeps it tethered to the ground. Someone in a white lab coat stands about eight feet away with a rod about as