truggling to understand these problems

 

An archer shoots an arrow at a 76.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow.(a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 35.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.) 

 °

(b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?

under

over

  

The cannon on a battleship can fire a shell a maximum distance of 45.0 km.(a) Calculate the initial velocity of the shell.

 m/s

(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.)

 m

(c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 45.0 km from the ship along a horizontal line parallel to the surface at the ship?

 m Does your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? (Select all that apply.)The error is insignificant compared to the distance of travel.

The error could be significant compared to the size of a target.

The error is significant compared to the distance of travel.

The error is insignificant compared to the size of a target.

 

An owl is carrying a mouse to the chicks in its nest. It is 4.00 m west and 12.0 m above the center of the 30 cm diameter nest and is flying east at 4.50 m/s at an angle 26° below the horizontal when it accidentally drops the mouse. Will it fall into the nest? Find out by solving for the horizontal position of the mouse (measured from the point of release) when it has fallen the 12.0 m. 

 m (from the point of release)

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