Two boats leave the shore at the same time and travel in the directions shown. If vA = %3D 20 ft/s and vB = 15 ft/s determine the magnitude of the velocity in ft/s of boat A with respect to boat B. VB B 130% 45°

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…

John and Mary are skating at an ice rink. John skates at a constant speed of 6.6 m/s, with respect to the ice surface, directly south. Mary skates at a constant speed of 12.3 m/s in a direction of 28° west of south, with respect to the ice. What are the magnitude and direction of Mary's velocity with respect to John? Give the direction as measured relative to due south. magnitude m/s direction ° west of south

A pilot is required to fly directly from London, UK, to Rome, Italy in 4.5h. The displacement is 1.7 x 103km [S15o E] A wind is blowing from the west with a velocity of 75 km/hr. Determine the required velocity of the plane relative to the air.

A projectile is fired with an initial speed of 25 m/s at an angle θ reaches a maximum height of 18m. The angle θ is given by a.) θ  = 25.8o b.) θ  = 75.3o c.) θ  = 48.7o d.) θ  = 30o

A pilot is in his plane with the intention of flying to Nunavut. From the current location, Nunavut is [N 9.0W]. The flight tracker estimates the distance from Toronto to Nunavut is approximate 3.0x103km. The plane hasthe capability to fly at an airspeed of 890 km/hr. The pilot aims the plane at a heading [N], and lands in Nunavutdirectly. If the flight takes 3.33 hrs to complete: a. What is the velocity of the plane relative to the Earth? b. What was the wind velocity present on that day?

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 17.9 min. a.If the straight-line distance from her home to the university is 10.310.3 km in a direction 28.028.0º south of east, what was her average velocity? (magnitude and direction south of east) b.If she returned home by the same path 6.50h after she left, what was her average speed for the entire trip?

Draw 2. A projectile is launched as shown from A. What is the range R that it will travel? 225 m/s 50 A 19 R rch 16 近

8) A basketball player shoots when she is 16.0 feet from the backboard. Knowing that the ball has an initial velocity vo 16.0 ft at an angle of 30° with the horizontal, detemine the value of vo when d = 9.0 inches. DO NOT convert the units to Sl units. Vo B 300 10.0 ft 6.8 ft

A swimmer wants to cross a river that is flowing east at 0.95 m/s . To do so, the swimmer points  33.0o north of west. How fast must they swim relative to the water so that they swim directly north across the river? Give your answer in meters per second to two decimal places