Final answer:
Spongebob and Patrick's car, accelerating at 5.1 m/s^2, will take approximately 5.69 seconds to go from 0 m/s to 29 m/s.
Step-by-step explanation:
To determine how much time it will take for Spongebob and Patrick's car to go from 0 m/s to 29 m/s with an acceleration of 5.1 m/s2, we can use the kinematic equation:
v = u + at
Where v is the final velocity, u is the initial velocity (which is 0 m/s since they start from rest), a is the acceleration, and t is the time. We can rearrange this equation to solve for t:
t = (v - u) / a
Plugging in the values, we have:
t = (29 m/s - 0 m/s) / 5.1 m/s2 = 5.69 seconds
Therefore, it will take Spongebob and Patrick approximately 5.69 seconds to reach a velocity of 29 m/s.