#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# Is there something special when an object moves according to the law v=a*sqrt(s) ?

v -velocity
a-constant
s-displacement

actually, the acceleration for this type of motion comes out to be constant.
dv/dt=dv/ds*ds/dt
= [a/2*sqrt(s)]*a.sqrt(s)=a^2/2
can you intuitively explain why this happens ?

10 years ago

v=ds/dt=Ksqrt(s)          (k=a^2/2)

ds/sqrt(s)=kdt

2sqrts=kt+c

s=(kt+c)^2 /2

it means graph between time and displacement is parabola...... Askiitians_Expert Yagyadutt
10 years ago

Hiii shubham

v = a root(x)

dx/dt = a.root(x)

dx/a.root(x) = a.dt

Integrate it ...

2root(x) = a .t

or   x = a^2.t^2/4

x = kt^2

This is a parabolic path with respect to time..

d^2x/dt^2 = 2k  ( constant )

So this is just a projectile motion with object starting from rest...moved with constant acceleration 2k

Regards

Yagya
{"ft_lang_label":"__label__en","ft_lang_prob":0.8367425,"math_prob":0.95730484,"size":1623,"snap":"2021-31-2021-39","text_gpt3_token_len":479,"char_repetition_ratio":0.09017912,"word_repetition_ratio":0.00754717,"special_character_ratio":0.27295133,"punctuation_ratio":0.099415205,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97707385,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-25T07:23:44Z\",\"WARC-Record-ID\":\"<urn:uuid:5377b739-a156-4269-a909-258ca4c95739>\",\"Content-Length\":\"239669\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4c6e6496-5ef7-4cf4-9859-216949aa2293>\",\"WARC-Concurrent-To\":\"<urn:uuid:aeb03b1a-b252-42a3-9a73-da2710973ce4>\",\"WARC-IP-Address\":\"3.7.36.8\",\"WARC-Target-URI\":\"https://www.askiitians.com/forums/Mechanics/10/22461/kinematicsthis-is-more-than-just-a-question.htm\",\"WARC-Payload-Digest\":\"sha1:QUYR23O43CRZ4MOKI7VBQD5RCRNVYUFW\",\"WARC-Block-Digest\":\"sha1:4DCORFZ6OHYHOKSTBJL35WQSRBERGTQ3\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046151638.93_warc_CC-MAIN-20210725045638-20210725075638-00688.warc.gz\"}"}