An object is thrown vertically upward with a speed of 31.8 m/s. How long does it take to reach this highest altitude?

To find the time it takes for the object to reach its highest altitude, we can use the equation for vertical motion with constant acceleration. The acceleration in this case is due to gravity and is approximately -9.8 m/s² (negative because it opposes the motion).

The equation we'll use is:
v = u + at

Where:
v is the final velocity (which is 0 m/s at the highest point),
u is the initial velocity (31.8 m/s),
a is the acceleration (-9.8 m/s²),
and t is the time.

Rearranging the equation, we have:
t = (v - u) / a

Substituting the known values, we get:
t = (0 - 31.8) / (-9.8)

Calculating this, we find:
t ≈ 3.24 seconds.

Therefore, it takes approximately 3.24 seconds for the object to reach its highest altitude.