Suraj Goswami
Jun 18, 2013, 07:16 AM
A body travels 100m in the first 2seconds and 104m in the next 4seconds.How far will it move in the next 4seconds if the acceleration is uniform?
ebaines
Jun 18, 2013, 09:27 AM
Using the formula D = v_o t+ \frac 1 2 a t^2 you have two equations in two unknowns:
1) D_1 = 100 = v_o (4) + \frac 1 2 a (4^2)
2) D_2 = D_1 + 100 = 204 = v_o (8) + \frac 1 2 a (8^2)
Solve for v_o and a, then find the distance travelled in 12 seconds:
3) D_3 = v_o (12) + \frac 1 2 a (12^2)
The distance travelled between 8 and 12 seconds is then D_3 - D_2.