#1. A bat is looking for some lunch and suddenly sees an insect o in the distanc

Question

#1. A bat is looking for some lunch and suddenly sees an insect o in the distance. When it detects its insect prey the

bat heads toward it and is traveling at a velocity of Vbg = 4.0 m/s relative to the ground in a direction 30 degrees North of

West. The insect is moving at a velocity of Vig = 5.0 m/s relative to the ground in a direction 50 degress North of East.

Draw a diagram (with axis) depicting this situation. What is the velocity Vib of the insect with respect to the bat

in component form?

#2. A woman is standing on an island located near the Equator. What centripetal acceleration does she feel due to the

Earth's rotation? What would the Earth's period have to be for her to feel a centripetal acceleration of g? What centripetal acceleration would a man from Sydney (latitude=46 degrees North) feel because of the Earth's rotation?

#3. You are cutting some wire from a spool (diameter = 10 cm) at a hardware store. You pull the wire from the spool at a constant acceleration of 1.5 m/s^2 until you get 2 meters. Assuming that the wire doesn't slip during the unwinding process, what is the angular speed of the spool at this time? Convert it to units of revolutions per minute (rpm)?

#4.  A cannon ball is launched at an enemy ship offshore. If the launch speed of the ball is 2 times its speed at maximum height, what is its launching angle? What would the initial speed need to be to hit the ship if it's 600 m from land?

#5. A basketball player is attempting a foul shot. At its release, the ball is about 4 m from the basket and about 7.0 ft above the ground, making an angle of 55 degress above the horizontal. If a regulation basketball net is 10 ft off the ground, how fast does the player have to throw the ball to sink the basket?

#6. You run 150 m up a 20 degrees sloping hill in an effort to escape from an oncoming zombie. You turn around just as the zombie reaches the base of the hill and throw a small hatchet in his direction. You use your physics knowledge to try and maximize the range of the projectile by throwing the hatchet at 45 degrees bove the horizontal from a height about 1.5 m above the ground. How fast would the hatchet have to have left your hands to hit the zombie?

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