Question

an object start motion with a v net velocity U and under uniform acceleration a acquires a velocity of 12 metre per second in 3 second hand 18 metre per second in 6 second find the initial velocity u as well as the acceleration a of the object

Answer 1

This question is testing the concept of acceleration.

Acceleration = change in velocity ÷ change in time

Scenario one :

U

V = 12 m/s

t = 3 seconds

a = ( 12 - U) / 3

3a + U = 12

Scenario two :

U

V = 18m/s

t = 6 seconds

a = (18 - U) / 6

6a + U = 18

Solving one and two simultaneously we have :

3a + U = 12

6a + U = 18

3a = 6

a = 2m/s²

U = 12 - 6 = 6 m/s

Initial velocity is thus 12m/s and the acceleration is 2m/s²

Answer 2

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