hiker walks 4.66 m, E and 6.25 m, N. What is the direction of his resultant displacement?

A quarterback passes the football downfield at 19.0 m/s. It leaves his hand 1.70 m above the ground and is caught by a receiver 36.0 m away at the same height. What is the maximum height of the ball on its way to the receiver?   so y0 = 1.7m  x(t) = 36m  , i guess i will need angle and t to get the answer, but i have no idea how to find them

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At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displaced d = 47 m horizontally and h = 76 m vertically above the launch point. What are the (a) horizontal and (b)vertical components of the initial velocity of the projectile? (c) At the instant it reaches its maximum height above ground level, what is its horizontal displacement D from the launch point?

Rain is falling steadily, but there is no wind. You are on a bus that moves at 35.0 km/hr, and you see that the rain appears to be falling at an angle of 42o with respect to the vertical. What is the vertical speed of the rain drops?

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?

For safety reasons, park rangers decide to start an avalanche on a mountain slope.  They fire an artillery shell at an angle of 520 above the horizontal with an initial speed of 295 m/s.  Thirty seconds later they see the explosion.  What is the x coordinates of the shell where it explodes, relative to the firing point?

A river flows due east. A boat travels with constant speed due north across the river from point A to point B. The speed of the boat relative to the water is 5 m/s. The river is 21m wide and it takes 7s to travel from A to B. What is the speed of the current in the river?

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!!

Consult Multiple Concept Example 9 in preparation for this problem. A golfer, putting on a green, requires three strokes to "hole the ball." During the fırst putt, the ball rolls 3.6 m due east. For the second putt, the ball travels 3.3 m at an angle of 30.0 ° north of east. The third putt is 0.67 m due north. What displacement (a) magnitude and (b) direction relative to due east) would have been needed to "hole the ball" on the very first putt? (a) Number i Units (b) Number i Units