A minivan travels straight north in the right lane of a divided highway at 28.0 m/s. A camper passes the minivan and then changes from the left lane into the right lane. As it does so, the camper’s path on the road is a straight displacement at 8.50° east of north. To avoid cutting off the minivan, the north–south distance between the camper’s back bumper and the minivan’sfront bumper should not decrease. (a) Can the camper be driven to satisfy this requirement? (b) Explain your answer.

A teacher drives his car at 3 mi N 40o E, then turns 3.8 mi to the West. What is the magnitude and direction of the teacher’s displacement from the starting position?

You walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from where you originally started?

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?

3. You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the distances you would have to point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes-one rotated 45°. straight south and then straight west to arrive at the same 4. A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 16, and then correctly calculates the length and orientation of the fourth side D. What is his result? yA+ B + C +D= 0 C 3.02 km C. W D = ? km 19 16 7.5 B= 2.48 km A = 4.70 km Figure 9.

A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?

A plane flies with the Jet Stream (tailwind) from Chicago to Rome in 9.1 hours, a flight distance of 7740 km. It returns, flying against the Jet Stream (headwind), in 10.8 hours. Calculate the average speed of the plane and the average speed of the wind. Must list assumptions, and draw 1D vector diagram!!! wr M

You are a jungle scientist. Your boss gives you the following alligator dive diagram. Your boss informs you of some key information. The gator travels at the top of the swamp surface 100m west and then 90.0m in a direction 33.0 degrees to the east of north. Then the gator dives below the swamp surface and travels an additional distance in an unknown direction. The final location of the gator is 60.0 m directly under a float marker which is placed 125m north of the gator's start location. Find what the gator's displacement was during this gator dive. ALIGATOR DIVE DIAGRAM East 30 North 60m 120m

A boat whos speed in still water is 5.0m/s headed west across a river. The river current is 2.5m/s south. If the river is 2395 wide, how long does it take the boat to cross the river.

You drive 5.50 km in a straight line in a direction 25° East of North. (a) Find the distances you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.) km East km North(b) Show that you still arrive at the same point if the East and North legs are reversed in order.