Sure, we can find this using the formula for kinetic energy, which is:
Kinetic energy = 1/2 * mass * speed^2
We know that the mass (m) of the object is 4.9 kg, and the kinetic energy (KE) it possesses is 32.6 Joules. We can rearrange the formula to solve for speed (v):
Speed = sqrt(2*KE/m).
We substitute the values into the speed formula:
Speed = sqrt(2*32.6J/4.9kg),
which results in:
Speed = 3.648 m/s.
So, the speed of the object is approximately 3.648 m/s.