A projectile is fired straight up at a speed of 15 m/s.

How long does it take to reach the top of its motion? The acceleration of gravity is 9.8 m/s2 .

To find the time it takes for the projectile to reach the top of its motion, we can use the equation of motion for vertical motion:

v = u + at

Where:
v = final velocity (which is 0 m/s at the top of the motion)
u = initial velocity (15 m/s in this case, as the projectile is fired straight up)
a = acceleration (in this case, acceleration due to gravity, which is -9.8 m/s^2 since it acts downward)
t = time

Rearranging the equation, we have:

t = (v - u) / a

Substituting the values, we have:

t = (0 - 15) / (-9.8)
t = (-15) / (-9.8)
t ≈ 1.53 seconds

Therefore, it takes approximately 1.53 seconds for the projectile to reach the top of its motion.

well, it starts off at 15m/s

Every second, it loses 9.8m/s

How long does it take to lose the whole 15 m/s?

Yes, it really is as easy as it seems.