#IT
942 Views

a body is thrown vertically up with a velocity u.It passes a point at h height h above the ground at time t1 while going up and time t2 whil falling down .then the relation between t1 ,t2 nad h is


Shivam goyal 10th Nov, 2019
Answer (1)
NAVEEN MEENA Student Expert 10th Nov, 2019

Dear Shivam, as far as I remember this question it asks to find the relation between t1, t2 and u (not h). If you want to find relation between t1, t2 and h then you can relate equation 1 and equation 4. I am providing you with the complete answer.

When a body, that is thrown vertically with velocity u,  reaches a vertical distance h from ground at time t1,

Thus, we will have, h = u×t1 - (1/2)g×t1^2--- (1)

If H is maximum the height it reaches with time T, then we will have

H = u2 / (2g) --- (2)

T = u/g  ............................... (3)

During descending, if the object crosses the same spot which is at a height h above the ground,  then the vertical distance travelled during ascending will be ( H-h ). Thus -

(H - h) = (1/2) gt^2 ---(4)

where t is the time taken to travel from highest point to the distance (H-h) .

If t2 is the time for the object, when it starts from the ground, and reaches maximum height and  again crosses the spot which is at a distance h from ground,  then we have,

t = (t2 - T )  --- (5)

Writing Eqn.(4) by substituting for H, h and t using respective eqns. (2), (1), (3) and (5)

[ u2 / (2g) ] - u×t1 + (1/2)g×t12 = (1/2)g [ t^2 - (u/g) ]^2 --- (6)

After simplifying equation (6), we will get,

t1 + t2 = 2u/g

All the best

Hope this helps



Related Questions

Amity University | M.Tech Adm...
Apply
Ranked amongst top 3% universities globally (QS Rankings).
Amity University Noida MBA Ad...
Apply
Amongst top 3% universities globally (QS Rankings)
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
UPES MBA Admissions 2025
Apply
Ranked #41 amongst institutions in Management by NIRF | 100% Placement | Last Date to Apply: 15th July
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
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