Math  /  Trigonometry

Question4. An airplane is travelling at 500 km/h500 \mathrm{~km} / \mathrm{h} due south when it encounters a win from W45NW 45^{\circ} \mathrm{N} at 100 km/h100 \mathrm{~km} / \mathrm{h}. a. What is the resultant velocity of the airplane? b. How long will it take for the airplane to travel 1000 km ?

Studdy Solution
Determine the time taken to travel 1000km 1000 \, \text{km} using the resultant velocity:
Time=DistanceVelocity=1000km575.12km/h \text{Time} = \frac{\text{Distance}}{\text{Velocity}} = \frac{1000 \, \text{km}}{575.12 \, \text{km/h}}
Calculate:
Time1000575.12 \text{Time} \approx \frac{1000}{575.12} 1.74hours \approx 1.74 \, \text{hours}
The resultant velocity of the airplane is approximately 575.12km/h \boxed{575.12 \, \text{km/h}} and it will take approximately 1.74hours \boxed{1.74 \, \text{hours}} to travel 1000km 1000 \, \text{km} .

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord