Aplane travels 5.0 x 10^2 m while being accelerated uniformly from rest at the rate of
5.0 m/s? what final velocity does it attain?

The final velocity of the plane is 100 m/s.

Explanation:

To solve this problem, we will use one the kinematics equations.  First, let's write out what information we have given and what we are trying to find.

x = 5.0 * 10^2 m

a = 5.0 m/s^2

v1 = 0 m/s (starts from rest)

v2 = ? (we are trying to find the final velocity)

Using the variables listed above, we can select the following equation to use:

v2^2 = v1^2 + 2ax

Now, we should plug in our known values and isolate the unknown variable.

v2^2 = 0 + 2(10)(500)

To solve for the velocity, we should take the square root of both sides of the equation to get rid of the square on the left side of the equation.

v = sqrt(10,000)

Now, we must simplify the right side of the equation to solve for v (the unknown variable).

v = 100 m/s

Therefore, your answer is 100 m/s.

Hope this helps!

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2