A particle experiences a potential as a function of position

(7 pts) Part c of Question 22

Shown here is a plot of velocity as a function of time. Over what range of times do we see displacement of zero? Select all that apply.

A pop gun can fire a projectile of mass to a height by firing at a velocity of . If we would like to have the projectile go one third as high, what velocity is required?

A pop gun uses a standard spring compressed by an amount to fire a projectile of mass to a height by firing at a velocity of . If we would like to have the projectile go half as high, what spring compression is required?

A pop gun can fire a projectile of mass to a height by firing at a velocity of . If we would like to have the projectile go three times as high, what velocity is required?

An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 110 m/s. If a constant wind blows at 20.0 m/s due east during the flight, what direction must the plane fly relative to the north to arrive at the destination?

(7 pts) Part c of Question 17

If we add vector to vector  the resultant vector is longer than both  and

Shown here is an odd pyramid. Find the angle