What is the velocity of an object accelerating at 7.0m/s 2 after 6.0s when it is initially moving at 3.0m/s?

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

Step 1: Understand the given values.

• Initial velocity (u) = 3.0 m/s
• Acceleration (a) = 7.0 m/s²
• Time (t) = 6.0 s

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 = 3.0 m/s + (7.0 m/s² * 6.0 s)

Step 4: Do the multiplication:

v = 3.0 m/s + 42.0 m/s

Step 5: Add the two values together:

v = 45.0 m/s

So, the velocity of the object after 6.0 seconds is 45.0 m/s.