A boat that can travel at 2.50 m/s in still water is heading directly across a river that is flowing at a rate of 1.25 m/s, i.e., so that it will end up downstream. (a) What is the velocity of the boat as measured by a person standing on the shore? Give both the magnitude and the angle. (b) If the river is 175 m across, how long does it take the boat to cross the river and in this time how far down stream will the boat have traveled? (c) Provide a diagram of the situation.

A car is 3.0 km west of a traffic light at t = 0 and 7.0 km east of the light at t = 8.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) what are the car’s position vectors at these two times? (b) what is the car’s displacement between 0 min and 6.0 min?

Two cars approach each other on a straight and level road. CarA is traveling at 50 km/h , due east and car B is traveling at 60 km/h , due west . Both velocities are measured relative to the ground . What is the velocity of car B relative to an observer in car A?

You drive north on a straight two-lane road at a constant 88 km/h. A truck in the other lane approaches you at a constant 104 km/h. Find (a) the truck’s velocity relative to you and (b) your velocity relative to the truck. (c) How do the relative velocities change after you and the truck pass each other? Treat this as a one-dimensional problem.

A cannonball is launched from the top of a flat mountainside, which slopes upwards at35 degrees with respect to the horizontal. The cannonball exits the cannon moving at150 m/s, at an angle of 55 degrees with respect to the horizontal.a) How much time (in seconds) elapses between the moment the cannonball isfired and the moment it lands on the mountainside.b) How far down the mountainside (in meters) does the cannonball land?

An outfielder throws a baseball to home plate and hits it ; it leaves his hand at a  velocity of +15 m/s and an angle of 40° . How  long does it take for the ball to hit the Home plate ( ground)? How far will the golf ball have traveled when it hits the Home Plate (ground)? How high will it go at  its highest point on way to home plate?   Notice you have 3 UNKNOWNS! Write a concluding sentence that states the whole result. I do not know the formula or how to solve this equation.

A boat can be rowed at 8.0 km/h in still water. (a) How much time is required to row 1.5 km downstream in a river moving 3.0 km/h relative to the shore? (b) How much time is required for the return trip? (c) In what direction must the boat be aimed to row straight across the river? (d) Suppose the river is 0.8 km wide. What is the velocity of the boat with respect to Earth and how much time is required to get to the opposite shore? (e) Suppose, instead, the boat is aimed straight across the river. How much time is required to get across and how far downstream is the boat when it reaches the opposite shore?

A person walks 2.80 km north and then 2.00 km east, all in 2.20 hours.   (a) What is the magnitude (in km) and direction (in degrees north of east) of her displacement during the given time? (b) What is the magnitude (in km/h) and direction (in degrees north of east) of her average velocity during the given time?(c) What was her average speed (in km/h) during the same time interval?

A swimmer, capable of swimming at a speed of 1.79 m/s in still water (i.e., the swimmer can swim with a speed of 1.79 m/s relative to the water), starts to swim directly across a 1.07-km-wide river. However, the current is 1.31 m/s, and it carries the swimmer downstream. (a) How long does it take the swimmer to cross the river? (b) How far downstream will the swimmer be upon reaching the other side of the river?

Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s. (a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.) X m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? The first runner will win. The second runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.) X m