I could use some help with the following 4 physics questions:

The cannon on a battleship can fire a shell a maximum distance of 45.2 km. (a) Calculate the initial velocity of the shell in meters per second. (Enter the magnitude.) m/s (b) What maximum height in meters 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. Assume the shell has been fired so as to maximize horizontal distance.) m (c) The ocean is not flat, because the earth is curved. Assume that the radius of the Earth is 6.37 x 109 km. How many meters lower will its surface be 45.2 km from the ship along a horizontal line parallel to the surface at the ship? Does your answer imply that error introduced by the assumption of a flat Earth in projectile motion is significant here? (Select all that apply.) O The error could be significant compared to the size of a target O The error could be significant compared to the distance of travel. The error is insignificant compared to the size of a target. O The error is insignificant compared to the distance of travel. A ship sets sail from Rotterdam, The Netherlands, heading due north at 5.00 m/s relative to the water. The local ocean current is 1.53 m/s in a direction 40 north of east. What is the velocity of the ship in meters per second relative to the Earth in degrees north of east? m/s ON of E Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,700 kg. The thrust of its engines is 29,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s.) Calculate (in m/s2) its magnitude of acceleration in a vertical takeoff from the Moon. m/s2 (b) Could it lift off from Earth? If not, why not? O No, the thrust of the module's engines is equal to its weight on Earth. O Yes, the thrust of the module's engines is greater than its weight on Earth. Yes, the thrust of the module's engines is equal to its weight on Earth. O No, the thrust of the module's engines is less than its weight on Earth. If it could, calculate (in m/s2) the magnitude of its acceleration. (If not, enter NONE.) m/s2 Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,600 kg. The thrust of its engines is 29,500 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s.) 7. (a) Calculate (in m/s2) its magnitude of acceleration in a vertical takeoff from the Moon. (Enter a number.) m /s 2 (b) Could it lift off from Earth? If not, why not? O No, the thrust of the module's engines is equal to its weight on Earth. O Yes, the thrust of the module's engines is greater than its weight on Earth. O No, the thrust of the module's engines is less than its weight on Earth. Yes, the thrust of the module's engines is equal to its weight on Earth. If it could, calculate (in m/s2) the magnitude of its acceleration. (Enter a number. If not possible, enter NONE.) m/s2