ICSE Class 9 Answered
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 | 19 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 | 20 Nov, 2017, 01:44: PM
