Solve this problem: A body moving with uniform acceleration Travels 84 metre in the first 6 second and 180 m in the next 5 seconds. find: (a)  the initial velocity ,and (b) the acceleration of the body.

Asked by Karuna | 19th Nov, 2017, 11:35: AM

Expert Answer:

Let initial velocity u and acceleration is a.
 
For first part of motion travelled 84 m in  6 seconds  we can write the following equation
 
 
The above kinetic equation gives the following equation
 
6u + 18a = 84 .....................(1)
 
The final velocity at end of 6 second is 
 
u6 = u+6a , where u6 is velocity after 6 seconds 
 
After using velocity relation after 6 seconds in the second part of the motion we get the following equation
 
(u+6a)5 + ½× a× 25 = 180 
 
By simplification we will get :-  5u + (85/2)a = 180 ...................(2)
 
By solving equations (1) and (2) we get 
 
a = 2 m/s2   ,  u = 4 m/s

Answered by  | 20th Nov, 2017, 01:44: PM

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