A 150-m-wide river flows due east at a uniform speed of 2.3m/s. A boat with a speed of 8.2m/s relative to the water leaves the south bank pointed in a direction 33° west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river? (a) Number (b) Number (c) Number i Units Units Units

A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.9 ft/sec2, determine the values of r, r˙, r¨, θ, θ˙, and θ¨ when t = 1.18 sec. Take the r-coordinate to be measured from the origin.

An airplane undergoes the following displacements: First, it flies 66 km in a direction 30° east of north. Next, it flies 49 km due south. Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point. A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2 upwards. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance (deaccelerating). What maximum elevation does the rocket reach during its flight H DELL O W

A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 5.00 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction. What direction should the dolphin head? Enter the angle in degrees where positive indicates south of west and negative indicates north of west.