3865 Views

a body is thrown vertically upward with velocity u. the distance travelled by it in the 7th and 8th seconds are equal. the displacement in 8th seconds is equal to n m. the value of n is ____.(take g=10m/s2)


Rutika 24th Sep, 2020
Answer (1)
JAYA KARTHIKA RS 24th Sep, 2020

Hello,

Solution:

s = ut + 1/2 at^2 is the formula used to find the displacement in 8 th sec

's' - displacement of the object with initial velocity 'u' and acceleration 'a' in the time duration 't'

When a body is thrown vertically upward with velocity u,the distance travelled by it in its 7 th and 8 th seconds will be equal only if it is possible to reach it's maximum height at 7th and freely falls under gravity in 8 th sec.


When a body reaches it's maximum height , it's velocity at that point of time becomes zero

Therefore,at the end of 7 th sec ,u = 0

Then, the body starts with u = 0 at the beginning of 8 th sec and falls freely to the ground under gravity

We have to calculate the distance travelled in 8 th sec by the body In the time travel 7th sec till 8 th sec

Time duration = 8-7 = 1sec

Now, u =0m/s , t = 1s , a= g= 10 m/s^2

We have to substitute these values in the below equation

The displacement of the body in a time interval is given by s= ut+ 1/2 at^2 = 0*1+1/2g*1^2

= 0+1/2 10*1 = 1/2*10 = 5


Hence, the displacement of the body in the 8 th sec is equal to 5 m

So, the value of n is 5




Hope it helps



Related Questions

UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships | Application Deadline: 30th Nov'24
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC
Great Lakes PGPM & PGDM 2025
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
ICFAI Business School-IBSAT 2024
Apply
9 IBS Campuses | Scholarships Worth Rs 10 CR
UPES B.Tech Admissions 2025
Apply
Ranked #42 among Engineering colleges in India by NIRF | Highest CTC 50 LPA , 100% Placements
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books