A whale swims at a constant velocity of 15 m/s southeast for 10 seconds, slows to a stop at a rate of 3 m/s^2, and then accelerates northwest at a rate of 2 m/s^2 for 5 seconds.

(a) sketch the velocity versus time t for the entire motion. Assume the motion started at time t=0 seconds;

(b) how long did the motion described last?;

(c) find an expression of the whale's velocity as a function of time for the entire motion;

(d) find an expression for the whales acceleration as a function of time for the entire motion;

(e) sketch the acceleration as a function of time;

(f) find an expression for the whale's average velocity over any time interval [0,t] during the motion;

(g) find the expression fo the whale's displacement as a function of time; and

(h) sketch the displacement versus time for the entire motion.

A. A sphere and a cylinder roll down an inclined plane, started from rest at the same time. They have the same radii, but not the same mass. Does one reach the bottom first? If so, which? Explain your reasoning.

B. Two spheres roll down an inclined plane, starting from rest at the same time. Sphere A has radius R and mass m. Sphere 2 has radius 2R and mass m. Does one reach the bottom first? If so, which? Explain your reasoning.

An electron moves with a speed of 3.0

An automobile has a vertical radio antenna 1.40 m long. The automobile travels at 56.0 km/h on a horizontal road where Earth's magnetic field is 50.0 µT, directed toward the north and downward at an angle of 65.0° below the horizontal.

Calculate the magnitude of this induced emf.

...........MV

How is the speed of an object in space measured? Also more importantly how do you measure your own speed in space? On the road we use a speedometer which tells us the speed easily. How is it done in space?

a) Describe how a circular turn (or a circular coil) constitutes a dipole magnet.

b) Consider a solenoid of N turns with a radius r and length l, and carrying a current I. What is the magnitude of magnetic field inside the solenoid (but not near the ends)? Does this magnitude depend on distance the center of the solenoid? ?

c) What is the magnitude of magnetic field outside the solenoid (but not near the ends)?

Discuss the main differences of direct gap and indirect gap semi-conductors.

A constant force is applied to an object, causing the object to accelerate at 6.0 m/s^2?

A. What will the acceleration be if the force is halved?

B.What will the acceleration be if the object's mass is halved?

C. What will the acceleration be if the force and the object's mass are both halved?

D. What will the acceleration be if the force is halved and the object's mass is doubled?

On a vacation flight, you look out the window of the jet and wonder about the forces exerted on the window. Suppose the air outside the window moves with a speed of approximately 150m/s shortly after takeoff, and that the air inside the plane is at atmospheric pressure.

(A) Find the pressure difference between the inside and outside of the window.

(B) If the window is 25cm by 45cm, find the force exerted on the window by air pressure.

I've heard people talk about "department store scopes" or "trash scopes". How do I know what to avoid in a beginner scope? How can I know that I'm not getting something we will be more frustrated with than excited about?

A very long, straight wire carries a current of 18.3 A out of the screen. An electron outside the wire is 1.79 cm to the right of the central axis of the wire and is moving with a speed of 5.95×10⁶ m/s.

A. Find the magnitude of the magnetic force on the electron if it is moving directly away from the wire (i.e., rightward).

B. Find the magnitude of the force on the electron if it is moving parallel to the wire in the direction of the current (i.e., out of the screen)

C.Find the magnitude of the force on the electron if it is moving upward

AFAIK all the celestial objects have a spin motion around its axis. What is the reason for this? If it must rotate by some theory, what decides it's direction and speed of rotation?

Is there any object that does not rotate about its axis?