MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping
Menu
Grade: 11 
        
A particle starts with initial speed u and retardation a to come to rest in time t . The time taken to cover first half of the total path travelled is . Please explain properly
4 years ago

Answers : (1)

View Solution
Nicho priyatham
625 Points 
							
while solving 1 diminsion  problems in kinamitcs 
u have to remember 3 important equations 
s=ut+(1/2)at2=vt-(1/2)at2 …......(1)
v=u+at..........(2)
v2-u2=2as........(3)
now coming to problem
u=u 
v=0
a=-a(retardation)
    	
  • by apply second equation above we get
            0=u-at so u=at............(3)
    	
  • now apply first equation  and substuting eq 3
         s=(1/2)at2 =(1/2)ut …........(4)
    	
  • now say partical takes T seconds to cover s/2 applying eq 1 again and sudstuting eq 4
                      s/2=uT-(1/2)aT2
                               1/4ut=uT-(1/2)(u/t)T2
                                solving the above equation we get the quaratic 
                                2T2 -4tT+t2=0
  solving the above equation we get 
T=(1-(1/(root2))t or (1+(1/(root2))t (reject as greater than t)
so T=(1-(1/(root2))t 
PLEASE APROOVE
 
4 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Other Related Questions on Mechanics

a particle is influenced by F=yi+zj+xk in a cube of edge length 1m.how can we calculate the workdone... Answer & Earn Cool Goodies
A light elastic string whose natural length is a has one end fixed point O, and to the other end is... Answer & Earn Cool Goodies
Only oxygenated blood is received by a. Spleen b. Liver c. Lungs d. Kidney
30 th question in the attachment................................................
let t be a real number such that t^2=at+b for some positive integers a and b. then for any choice of...
View all Questions »


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers To Win!!! Click Here for details