What is the velocity of an object accelerating at 5.0m/s 2 after 3.0s having started from rest?

To find the velocity of an object, we can use the formula for velocity in uniformly accelerated motion:

v = u + at

where: v = final velocity u = initial velocity a = acceleration t = time

In this case, the object started from rest, so the initial velocity (u) is 0. The acceleration (a) is 5.0 m/s^2 and the time (t) is 3.0 s.

Substituting these values into the formula, we get:

v = 0 + (5.0 m/s^2 * 3.0 s)

So, the velocity of the object after 3.0 seconds is 15.0 m/s.

Sure, here's how you can calculate the velocity of an object given its acceleration and time:

Step 1: Understand the problem and what is given. We are given:

• Acceleration (a) = 5.0 m/s²
• Time (t) = 3.0 s
• Initial velocity (u) = 0 (since the object started from rest)

Step 2: Use the formula for velocity when acceleration and time are known. The formula is:

v = u + at

where:

• v is the final velocity
• u is the initial velocity
• a is the acceleration
• t is the time

Step 3: Substitute the given values into the formula:

v = 0 + (5.0 m/s² * 3.0 s)

Step 4: Calculate the result:

v = 15.0 m/s

So, the velocity of the object after 3.0 seconds is 15.0 m/s.