Astudent drove to the university from her home and noted that the odometer on her car increased by 13.0 km. the trip took 20.0 min. (a) what was her average speed in km/h? km/h (b) if the straight-line distance from her home to the university is 10.3 km in a direction 25.0° south of east, what was her average velocity in km/h? km/h (c) if she returned home by the same path 7 h 30 min after she left, what were her average speed and velocity in km/h for the entire trip? average speed km/h average velocity km/h

Suppose you were asked to find the torque about point p due to the normal force n in terms of given quantities. which method of finding the torque would be the easiest to use?

What is the magnitude of the resultant vector round your answer to the nearest tenth

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒