Hint 1Hint 2Part JVelocity (j)What is the velocity of an object accelerating at −25.0m/s 2 after 3.0s when it is initially moving at 30.0m/s?

To solve this problem, we will use the formula for velocity when acceleration and time are known:

v = u + at

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

Given in the problem: u = 30.0 m/s (initial velocity) a = -25.0 m/s² (acceleration) t = 3.0 s (time)

Substitute these values into the formula:

v = 30.0 m/s + (-25.0 m/s² * 3.0 s)

Solve the multiplication:

v = 30.0 m/s - 75.0 m/s

Finally, subtract to find the final velocity:

v = -45.0 m/s

So, the velocity of the object after 3.0 seconds is -45.0 m/s. The negative sign indicates that the object is moving in the opposite direction to the initial direction.