An aeroplane moves upward for 500km, then moves 1000km in direction 370 south of East and finally 1002km moves in North-East direction. Mark correct option.

x=1000cos⁡37∘+10002cos⁡45∘=1800kmy=−1000sin⁡37∘+10002sin⁡45∘=400kmz=500kms=xi^+yj^+zk^ (or) s=1800i^+400j^+500k^|s|=(1800)2+(400)2+(500)2=191km

An aeroplane moves upward for 500km, then moves 1000km in direction 370 south of East and finally 1002km moves in North-East direction. Mark correct option.

x=1000cos⁡37∘+10002cos⁡45∘=1800kmy=−1000sin⁡37∘+10002sin⁡45∘=400kmz=500kms=xi^+yj^+zk^ (or) s=1800i^+400j^+500k^|s|=(1800)2+(400)2+(500)2=191km

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

An aeroplane moves upward for 500km, then moves 1000km in direction $37^{0}$ south of East and finally $100 \sqrt{2} km$ moves in North-East direction. Mark correct option.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

The distance travelled by aeroplane is $(1500 + 100 \sqrt{2}) km$

The magnitude of displacement is 191km

The magnitude of displacement is 200km

The ‘Q’ magnitude of displacement is 1000km

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$x = 1000 \cos 37^{\circ} + 1000 \sqrt{2} \cos 45^{\circ} = 1800 km$

$y = - 1000 \sin 37^{\circ} + 1000 \sqrt{2} \sin 45^{\circ} = 400 km$

$z = 500 km$

$s = x \hat{i} + y \hat{j} + z \hat{k} (or) s = 1800 \hat{i} + 400 \hat{j} + 500 \hat{k}$

$| s | = \sqrt{(1800)^{2} + (400)^{2} + (500)^{2}} = 191 km$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

An aeroplane moves upward for 500km, then moves 1000km in direction 370 south of East and finally 1002km moves in North-East direction. Mark correct option.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App

An aeroplane moves upward for 500km, then moves 1000km in direction $37^{0}$ south of East and finally $100 \sqrt{2} km$ moves in North-East direction. Mark correct option.