Final answer:
Using the kinetic energy formula and rearranging it to solve for velocity, the cyclist's velocity is approximately 5.29 meters per second.
Step-by-step explanation:
To find the velocity of the cyclist with a kinetic energy of 980 J and a mass of 70 kg, we use the formula for kinetic energy (KE), which is:
KE = (1/2)mv²
where m is mass and v is velocity. We rearrange the formula to solve for v:
v = √(2KE/m)
Substituting the given values:
v = √(2*980 J / 70 kg)
By calculating this, we get:
v ≈ √(28) m/s
v ≈ 5.29 m/s
So, the cyclist's velocity is approximately 5.29 meters per second.