Can acceleration decrease while velocity increases?

Absolutely. Consider what happens at start of a moto GP race. When the light turns green, all the bikes start speeding ahead. These bikes might hit 0-60 mph in just a few seconds. That's a lot of acceleration. read more

Suppose a car’s speed/velocity increases from 0 to 10 m/sec in 0 to 1 sec. Let its velocity increase from 10 to 15 m/sec in duration 1 to 2 sec. Now, the acceleration of the car decreased from 10 (during 0 to 1 sec interval) to 5 m/second square ( during 1 to 2 sec interval) while its velocity is continuously increasing. I hope you got it. read more

Acceleration is the rate of change of velocity defined by $a=dv/dt$, so even if acceleration is decreasing as long as it is positive it velocity would increase. read more

Since it is moving in reverse direction its initial velocity was -20 meters per second and its final velocity is -10 meters per second hence velocity increases from -20 to -10 meters per second. Since Acceleration is change in velocity per unit time, here it is 20/10 i.e. 2 meters per second squared. So it is possible. Period. read more

Acceleration is velocity/time. Speed is a scalar and Velocity is a vector. An example for: Positive Acceleration, Increasing Velocity & Decreasing Speed is-Suppose a car driving in reverse direction slows down. If it was going at 20 meters per second and slows down to 10 meters per second in 10 seconds the speed is decreasing. read more