A 150-m-wide river flows due east at a uniform speed of 3.8m/s. A boat with a speed of 8.1m/s relative to the water leaves the south bank pointed in a direction 34o 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?

Rain is falling steadily, but there is no wind. You are on a bus that moves at 50.0 km/hr, and you see that the rain appears to be falling at an angle of 31o with respect to the vertical. What is the vertical velocity of the rain drops?

A boat with a still water velocity of 20.0km/hr heads North across a river that flows directly East  at 12.0km/hr.  ( I am in need of help with d & e). a)  What will be the resultant velocity of the boat if it does not fight the current ?  (23.3 km/hr  31.0o E of N) b)  If the river is 700.m wide, how long will it take the boat to reach the opposite side if it does not fight the current ?  (.035hr) c)  How far downstream, relative to the bank, will the boat be carried if it does not fight the current ?  (.420km or 420.m) d)  What must be the heading of the boat if it is to keep a path directly North across the stream ? Draw a vector diagram.   e)  How long will it take the boat to cross the stream if it keeps its heading during the entire trip ?

While scavenging for acorns before the big winter, Scrat the Squirrel leaves his tree house and skitters along 8.00 m at a heading of 40.0° SoE to collect two acorns. Then, he traipses off 10.0 m West to snag another acorn. Finally, he sees a big prize and hurriedly rushes 12.0 m at 20.0° EoN. If he must now make it back to his tree house, how far and in what direction should he head to go home? I know the answer I just don’t know how to get it. Answer: 6.14 m @ 87.8° NoE Thanks!!

i have a question with problem 7

pls answer this 100% corrctly thank you! A small airplane starts flying at a constant speed of 442 km/h on a heading of N72W. A 53 km/h wind is blowing from N41W. Determine the ground velocity of the airplane. Give direction as a quadrant bearing. Include diagram showing the vector addition with your solution.

9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)

IT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =

I have a question with problem 8

The captain of a small plane starts his journey by proceeding east. The speed of the plane with respect to still air is160 km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h.  As seen by people on the ground, what is the angle made between the direction of motion of the plane with repectto the east?