Akitten sits in a lightweight basket near the edge of a table. a person accidentally knocks the basket off the table. as the kitten and basket fall, the kitten rolls, turns, kicks, and catches the basket in its claws. the basket lands on the floor with the kitten safely inside. if air resistance is negligible, what is the acceleration of the kitten-basket system while the kitten and basket are in midair? a the acceleration is directed downward with magnitude less than g because the basket is light. b the acceleration is directed downward with magnitude equal to g because the system is a projectile. c the acceleration fluctuates because of the rolling, turning, and kicking motion of the kitten. d the acceleration cannot be determined without knowing how hard the basket is pushed.

The image shows a pendulum in simple harmonic motion the pendulum starts at a and swing to e

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 ⇒

By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?