Question

The velocity acquired by a body moving with uniform acceleration is 12 m/s in 2 s and 18 m/s in 4 s. Find the initial velocity of the body.

Answer 1

6 m/s

Step-by-step explanation:

At constant acceleration, the final velocity is equal to the initial velocity plus the product of time and acceleration:

v = at + v₀

We know that at t=2, v=12. And at t=4, v=18.

12 = 2a + v₀

18 = 4a + v₀

We can solve the system of equations for v₀. If we double the first equation:

24 = 4a + 2v₀

And subtract the second:

24-18 = 4a-4a + 2v₀ - v₀

6 = v₀

The initial velocity is 6 m/s.