Question

A boat trip travels are 15 miles in the direction of 45° east of north for an hour the boat then turn and travels at 18 m/s in a direction 5° north of East for an hour

Answer 1

Hello your question is incomplete below is the missing piece

What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.

answer : 25.73 m/s

Step-by-step explanation:

Given

V1 = 15 miles/hour = 6.71 m/s [ 45° EN ]

V2 = 18 m/s [ 5° NE ]

Calculate the resultant velocity

Vr = 6.71 m/s[45°] + 18m/s[5°].

Vr = ( 6.71 *Cos45° + 6.71 *sin45°) + ( 18 *Cos5° + 18*sin5° )

Vr = ( 4.74 + 4.74 i )+ ( 17.93 + 1.57i) = 22.67 + 12.18i.

Therefore the magnitude

=
`√(22.67^2 + 12.18^2)` = 25.73 m/s