Acyclist rides her bike at a rate of 2 meters per second. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 3 hours? do not round your answers.

The speed v is 12 m/s.

You need to convert the seconds to hours  and meters to kilometers:

3600s = 1 hr

If you divide 3600 on both sides you will get

1 s = (1/3600) hr

1000m = 1 km

If you divide 1000 on both sides you will also get

1 m = (1/1000) km

v = [(12/1000) km] / [(1/3600) hr]

v = [(12*3600)/1000] km/hr

v = 216/5  km/hr

The distance in 4 hours is

d = [(216/5) km/hr] * 4hr

d = 864.50 km

This is why your answer should be 12 m/s

Hope this helps!! - Queenb369

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

a

explanation: