Aball is shot from the ground into the air. at a height of 9.1 m above the ground, the velocity of the ball is observed to be ⃗ = 7.̂ + 6.̂ in meters per second, where ̂ and ̂ are the typical cartesian unit vectors. you can ignore air resistance. (a) to what maximum height will the ball rise? (b) what will be the total horizontal distance traveled by the ball? (c) what is the velocity of the ball the instant before it hits the ground?

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 ⇒

Acold front traveling southeast collided with a warm front traveling northwest the following map shows the weather on monday the day the two fronts collided which of these describes the weather forecast for mississippi on tuesday and wednesday

Which of these activities increases the amount of carbon in the atmosphere?