A basketball star covers 3.05 m horizontally in a jump to dunk the ball. His motion through space can be modeled precisely as that of a particle at his center of mass. His center of mass is at elevation 1.02 m when he leaves the floor. It reaches a maximum height of 1.95 m above the floor and is at elevation 0.880 m when he touches down again. (a) Determine his time of flight (his "hang time"). (b) Determine his horizontal velocity at the instant of takeoff. m/s (c) Determine his vertical velocity at the instant of takeoff. m/s (d) Determine his takeoff angle.

Choose any 3 questions.

1.) What effect does N have on accurately determining the value of the period? What considerations keep one from allowing N to be very large, for example 1000?

2.) What does it mean for the pendulum to have a small angle? How far does the period (T) of the pendulum differ from the linear model that we used to describe the pendulum as a function of initial angle? Note that for this one you will need to measure the period of a single swing of the pendulum. How can you / did you do this?

3.) How can you investigate the pendulum under the effect of reduced gravity? How might you dilute the effect of gravity on the pendulum?

4.) What are the effects of air friction on the mechanical energy of the pendulum? Study the drop in amplitude of oscillation of the pendulum as a function of time, length, mass, period and initial amplitude.

5.) Define the terms amplitude, frequency, angular frequency, and period as they apply to the pendulum.

In the annual battle of the dorms, students gather on the roofs of Jackson and Walton dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 38.0 m, and the heights of the Jackson and Walton buildings are, respectively, 15.0 m and 22.0 m. The first balloon launched by the Jackson team hits Walton dorm 2.20 s after launch, striking it halfway between the ground and the roof. Ignore air resistance. (a) Find the direction of the balloon's initial velocity. Give your answer as an angle (in degrees) measured above the horizontal. (b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon.

Light weight charged bodies stick to neutral matter. Why?

A QL = -22 ?C charge is placed on the x-axis at x = - 0.4 m. A QR = 22 ?C charge is placed at x = +0.4 m. (for all answers below assume that the unit vector x^ points toward positive x, and y^ points towards positive y.).

a.What is the x-component of the electric field at x = 0 m and y = 0.4m? (N/C)

b. What is the y-component of the electric field at x = 0 m and y = 0.4m? (N)

c What is the x-component of the electric field at x = 0 m and y = -0.4m? (N/C)

d. What is the y-component of the electric field at x = 0 m and y = -0.4m? (N/C)

B and D are 0 but I can't figure out A and C

Exercise 19.
Repeat Exercise 3. with the contestant pulling the block of ice with a rope over his shoulder at the same angle above the horizontal as shown in Figure 5.7(b).

Number of spacecraft that visited both Jupiter and Saturn but neither Uranus nor Neptune:

(Please explain for a rating. Thanks!)

1.WHICH OF THE FOLLOWING IS NOT ONE OF THE FUNDAMENTAL QUESTIONS THAT SHOULD BE ASKED WHEN PLANNING AND CARRYING OUT ACTIVITIES IN A DEVELOPMENTALLY APPROPRIATE CLASSROOM?

A. Is it what the children want at the time of instruction?

B. Is it individually appropriate?

C. Is it socially and culturally appropriate?

D. Is it age appropriate?

2.Which of the following early childhood theorists developed the theory of learning intelligence as it pertains to individual learning styles?

A. Erik Erikson
B. Jean Piaget
C. Maria Montessori
D. Howard Gardner

3. Practice or pre-exercise theories of play pose the idea that

A. play provides children with an opportunity to practice adult activities.

B. play is necessary to reenergize human cognition.

C. children have too much energy and play will rid them of that energy.

D. children are the link between animals and human beings.

4. Direct instruction takes place when

A. Children explore their surroundings and learn based on their own curiosity and interests.

B. Learning takes place through a process of solving a specific problem.

C. The teacher shows children how something works or how to complete an activity.

D. A skill set is explicitly taught or an activity is completed.

5.Which of the following learning styles describes children who have highly developed auditory skills and the ability to use words effectively?

A. Interpersonal

B. Musical

C. Visual=spatial

D. linguistic

6. Exploratory play is best described as

A. the teacher guiding students through a process of discovery that leads to purposeful learning.
B. children being given the time necessary to explore their surroundings, learning based on their own curiosity and interests.
C. learning that takes place through a process of solving a specific problem.
D. the teacher showing children how something works or how to complete a portion of or the entire activity.

You have a resistor of resistance 200 Ω , an inductor of inductance 0.440 H , a capacitor of capacitance 6.10 μF and a voltage source that has a voltage amplitude of 34.0 V and an angular frequency of 250 rad/s . The resistor, inductor, capacitor, and voltage source are connected to form an L-R-C series circuit. A-What is the impedance of the circuit? B-What is the current amplitude? C-What is the phase angle of the source voltage with respect to the current? D-Does the source voltage lag or lead the current? E-What is the voltage amplitude across the resistor? F-What is the voltage amplitude across the inductor? G-What is the voltage amplitudes across the capacitor? H- Explain how it is possible for the voltage amplitude across the capacitor to be greater than the voltage amplitude across the source.

A rock climber stands on top of a 50 m -high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. The initial speed of the first stone was 2.2 m/s .

How long after the release of the first stone does the second stone hit the water?

What was the initial speed of the second stone?

What is the speed of the first stone as it hits the water?

What is the speed of the second stone as it hits the water?

Please explain how to solve the equations

A golfer hits a shot to a green that is elevated 2.50 m above the point where the ball is struck. The ball leaves the club at a speed of 17.3 m/s at an angle of 43.0˚ above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

Example: The radioactive isotope decays by electron capture with a half –life of 272 days. •(a) Find the decay constant of the lifetime. •(b) If you have a radiation source containing , with activity 2.00µCi, how many radioactive nuclei does it contain? •(c) What will be the activity of this source after one year?5