Question

# An airplane flies $400m$ north and $300m$ south and then flies $1200m$ upwards then net displacement is:

A

$1400m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

$1204.15m$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

$1300m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

$1500.15m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B $1204.15m$Step 1: GivenDistance travelled in North: ${D}_{1}=400m$Distance travelled in the South: ${D}_{2}=300m$Distance travelled Upwards: ${D}_{3}=1200m$The motion of the plane could be better understood by the following diagram: Step 2: Formula Used$hypotenus{e}^{2}=perpendicula{r}^{2}+bas{e}^{2}$Step 3: Calculate the displacement of the planeCalculate the distance from point A to point C by subtracting the distance of CB from AB$AC=AB-CB\phantom{\rule{0ex}{0ex}}={D}_{1}-{D}_{2}\phantom{\rule{0ex}{0ex}}=400m-300m\phantom{\rule{0ex}{0ex}}=100m$Calculate the distance from point A to point D using the hypotenuse theorem$A{D}^{2}=A{C}^{2}+C{D}^{2}\phantom{\rule{0ex}{0ex}}⇒AD=\sqrt{A{C}^{2}+C{D}^{2}}\phantom{\rule{0ex}{0ex}}=\sqrt{{100}^{2}+{1200}^{2}}\phantom{\rule{0ex}{0ex}}=\sqrt{145000}\phantom{\rule{0ex}{0ex}}=1204.15$Hence, the net displacement is $1204.15m$.Thus, option (B) is correct. Suggest Corrections 0 Similar questions Explore more
{"ft_lang_label":"__label__en","ft_lang_prob":0.8539072,"math_prob":0.997427,"size":559,"snap":"2022-40-2023-06","text_gpt3_token_len":121,"char_repetition_ratio":0.14954954,"word_repetition_ratio":0.08791209,"special_character_ratio":0.19856887,"punctuation_ratio":0.11320755,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9995534,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-02-02T09:09:12Z\",\"WARC-Record-ID\":\"<urn:uuid:2e774787-e6e9-4a82-832f-e6dad6a14d4b>\",\"Content-Length\":\"142324\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:76407513-8d83-4257-8089-faa8fea7e899>\",\"WARC-Concurrent-To\":\"<urn:uuid:a7b65a39-f994-4642-9019-091336fccead>\",\"WARC-IP-Address\":\"162.159.130.41\",\"WARC-Target-URI\":\"https://byjus.com/question-answer/an-aeroplane-flies-400-m-north-and-300-m-south-and-then-flies-1200-m-upwards-then-net-displacement-is/\",\"WARC-Payload-Digest\":\"sha1:4GM5GJO3OJ4AG6W75RQZKRM3MSB2NZKK\",\"WARC-Block-Digest\":\"sha1:YSYTEPH5E5J335PSM4JTMIZAEYGEVJH5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499967.46_warc_CC-MAIN-20230202070522-20230202100522-00622.warc.gz\"}"}