Request a call back

A diwali rocket moves vertically with constant acceleration of 5 ms–2. After some time its fuel exhausted and then it falls freely. If maximum height attained by the rocket is 60m. Then find its speeds when the fuel is just exhausted. (g = 10ms–2) Expert Answer
Let h be the vertical distance travelled by rocket before exhausting the fuel.

Speed v of rocket after moved by a vertical distance h is determined from the following equation of motion

" v = u2 + ( 2 a S )  "  ...........................(1)

where u = 0 is initial speed because rocket starts from rest, a = 5 m/s2 is acceleration
and S = h is distance travelled.

v2 = 2 × 5 × h     or    v = m/s

If total vertical distance travelled by rocket is 60 m , distance travelled vertically in gravitational field is (60-h) m .

When the rocket reaches maximum height , its final speed v = 0 . Hence in equation of motion (1) ,

if we substitute v = 0 and initial speed after exhausting fuel   u  = m/s , acceleration a = -g = -10 m/s2
and S = (60-h) m , then we get

10 h = 2 × 10 × (60-h)

we get h = 40 m from above expression

hence speed of rocket immediately after exhausting fuel , v = = 20 m/s
Answered by Thiyagarajan K | 21 Aug, 2021, 01:14: PM
CBSE 11-science - Physics
Asked by udayanmazumder079 | 13 Jul, 2023, 09:21: PM ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by sahamamoni597 | 27 Jun, 2023, 01:00: AM ANSWERED BY EXPERT
CBSE 11-science - Physics
how to solve this ANSWERED BY EXPERT
CBSE 11-science - Physics
16dx2/dt2+ 25x = 0 ANSWERED BY EXPERT
CBSE 11-science - Physics ANSWERED BY EXPERT
CBSE 11-science - Physics ANSWERED BY EXPERT
CBSE 11-science - Physics ANSWERED BY EXPERT ANSWERED BY EXPERT ANSWERED BY EXPERT ANSWERED BY EXPERT
{"ft_lang_label":"__label__en","ft_lang_prob":0.89069295,"math_prob":0.98864275,"size":3361,"snap":"2023-40-2023-50","text_gpt3_token_len":1002,"char_repetition_ratio":0.1432827,"word_repetition_ratio":0.2775974,"special_character_ratio":0.31359714,"punctuation_ratio":0.15254237,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9964395,"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,null,null,null,null,1,null,null,null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-26T12:47:48Z\",\"WARC-Record-ID\":\"<urn:uuid:963574fc-3157-411a-b7b7-ece99f5b5d6d>\",\"Content-Length\":\"442682\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:cf268ef1-7d0b-496a-8eaa-5ce232d243c1>\",\"WARC-Concurrent-To\":\"<urn:uuid:b245720b-99c5-4f7d-a3b8-e30523724e48>\",\"WARC-IP-Address\":\"23.0.229.194\",\"WARC-Target-URI\":\"https://www.topperlearning.com/answer/a-diwali-rocket-moves-vertically-with-constant-acceleration-of-5-ms-ndash-2-after-some-time-its-fuel-exhausted-and-then-it-falls-freely-if-maximum-hei/h533c7kk\",\"WARC-Payload-Digest\":\"sha1:KSVPKLCGAFSOFKFND2A2R662NTYOJ2H6\",\"WARC-Block-Digest\":\"sha1:Z3EEGBDH2BMTWZKBCUDSEWWDOFNIBJT5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510208.72_warc_CC-MAIN-20230926111439-20230926141439-00241.warc.gz\"}"}