Problem 1.A boat traveling east covers a distance of 40.0 m in 20.0 s. It encounters a current moving at a speed of 2.50 m/s traveling north. Find the resultant velocity of the boat. 2.A riverboat travels with a velocity of 4.60 m/s from one shore to another. The velocity of the river is 2.30 m/s. If the width of the river is 72.0 m, how far does the boat travel downstream to reach the other shore? 3. A bus travels from west to east with a velocity of 11.5 m/s. A marble rolls on the surface of the bus floor with a velocity of 0.200 m/s north. What is the velocity of the marble relative to the road? 4. A human cannonball is launched from a cannon at 20 m/s at 45° above the horizontal. What is the maximum height of the human cannonball? 5. A human cannonball is launched from a cannon at 20 m/s at 45° above the horizontal. What is the range of the human cannonball? 6. A football is kicked from a tee at 12 m/s at 72° above the horizontal. What is the flight time of the football? 7. An invading barbarian whirls a stone in a leather sling. If the sling is 90 cm long, and the velocity of the stone is 90 m/s, what is the centripetal acceleration of the stone? 8. A spider twirls a 25 mg fruit fly around in a circle with radius 17.6 cm at the end of a web. If the velocity of the fly is 110 cm/s, what is the centripetal force acting on the fly? 9. A bolt is shot horizontally from a crossbow 1.5 m above the ground. The initial velocity is 45 m/s. How far will the arrow travel before hitting the ground? 10. A model rocket flies horizontally off the edge of a cliff at a velocity of 40.0 m/s. If the canyon below is 100.0 m deep, how far from the edge of the cliff does the model rocket land? (a, = -g = −9.81 m/s* 11. A firefighter 67.0 m away from a burning building directs a stream of water from a fire hose at an angle of 42.0° above the horizontal. If the velocity of the stream is 41.0 m/s, at what height will the stream of water strike the building? (a,, = -g=-9.81 m/s 12. A small airplane flies at a velocity of 186 km/h toward the south as observed by a person on the ground. The airplane pilot measures the velocity of the plane with respect to the air as 208 km/h south. What is the velocity of the wind that affects the plane? 13. A 69.8 kg student sits at a desk 1.75 m away from a 78.9 kg student. What is the magnitude of the gravitational force between the two students? (G = 6.673 × 10¯¹¹ N•m²/kg²) 14. A new planet is discovered orbiting a star with a mass 3.5 × 1031 kg at a distance of 1.2 × 10" m. Assume that the orbit is circular. What is the orbital speed of the planet? (G-6.673 × 1011 N⚫m²/kg²) 15. What is the orbital period of the planet? (G= 6.673 × 10° Nom²/kg²