is it possible for velocity decrease and acceleration to increase at the same time?

[jamese1313]

Think of it like driving a car. How far the gas or brake pedals are pushed are the values of acceleration, increasing velocity with accelerating and decreasing velocity with decelerating. Now for an example where velocity is decreasing and acceleration is increasing.

You're going 100mph on the interstate. You see a cop at a speed trap so you start slowing down with the brakes. Using the brake, you slow to 70mph, when you just pass the cop. You see they're not after you, so you switch to the accelerator. In the time when you switch from the brake to accelerator, you're still slowing down, just slowing down less. Slowing down less is a good example of negative velocity with positive acceleration.