An object has an average acceleration of +5.49 m/s2 for 0.276 s . At the end of this time the object's velocity is +9.52 m/s . What was the object's initial velocity?

v = v0+at, so v increased by 5.49 m/s every second.

v0 + 5.49 * 0.276 = 9.52
v0 = 8.00 m/s

Well, well, well, let's do some math and find that initial velocity, shall we? Now, we know the average acceleration is 5.49 m/s² and the time is 0.276 seconds. So, using the formula for average acceleration (a = Δv/Δt), we can rearrange it to find the change in velocity: Δv = a × Δt. Plugging in the numbers, Δv = 5.49 m/s² × 0.276 s, which gives us Δv = 1.51404 m/s.

Now, to find the initial velocity, we can use another formula: v = u + Δv, where v is the final velocity, u is the initial velocity, and Δv is the change in velocity. We're given that v is +9.52 m/s and Δv is +1.51404 m/s, so we can rearrange the formula to solve for u: u = v - Δv. Substituting the values, u = +9.52 m/s - 1.51404 m/s, which gives us u = +8.00596 m/s. Therefore, the object's initial velocity is approximately +8.01 m/s.

And remember, always add a little velocity and humor to your calculations to make them more entertaining!

To find the object's initial velocity, we can use the following equation of motion:

v = u + at

Where:
v = final velocity (9.52 m/s)
u = initial velocity (unknown)
a = acceleration (+5.49 m/s^2)
t = time (0.276 s)

Rearranging the equation to solve for u:

u = v - at

Now, substitute the given values into the equation:

u = 9.52 m/s - 5.49 m/s^2 * 0.276 s

Perform the calculation:

u = 9.52 m/s - 1.51624 m/s

u ≈ 7.00376 m/s

Therefore, the object's initial velocity was approximately 7.00 m/s.

To find the object's initial velocity, we can use the following equation:

v = u + at

where:
v = final velocity = +9.52 m/s (given)
u = initial velocity (to be found)
a = acceleration = +5.49 m/s^2 (given)
t = time = 0.276 s (given)

Let's rearrange the equation to solve for u:

u = v - at

Substituting the given values into the equation:

u = (+9.52 m/s) - (+5.49 m/s^2)(0.276 s)

Now we can calculate the expression:

u = 9.52 m/s - (1.51 m/s^2 * 0.276 s)

u = 9.52 m/s - 0.417 m/s

u ≈ 9.103 m/s

Therefore, the object's initial velocity is approximately +9.103 m/s.