Final answer:
To calculate the time it takes for a scooter to accelerate from rest to 4.00 m/s with an acceleration of 0.400 m/s², we use the formula t = Δv / a. It takes the scooter 10 seconds to reach the desired velocity.
Step-by-step explanation:
The question asks how long it will take a scooter to accelerate from rest to a velocity of 4.00 m/s, given an acceleration of 0.400 m/s². To find the time, we can use the formula for acceleration, which is acceleration (a) = change in velocity (Δv) divided by time (t).
Rearranging the formula to solve for time, we get time (t) = change in velocity (Δv) / acceleration (a). Here, the change in velocity is the final velocity (4.00 m/s) minus the initial velocity, which is 0 m/s (since the scooter starts from rest). Thus, Δv = 4.00 m/s.
Plugging the values into the formula, we get: t = 4.00 m/s / 0.400 m/s² = 10 seconds.
Therefore, the scooter will take 10 seconds to accelerate from rest to a speed of 4.00 m/s given an acceleration of 0.400 m/s².
To determine the time it takes for the scooter to go from rest to a speed of 4.00 m/s, we can use the equation:
v = u + at
where:
v is the final velocity (4.00 m/s)
u is the initial velocity (0 m/s as the scooter starts from rest)
a is the acceleration (0.400 m/s²)
t is the time taken
Plugging in the values, we get:
4.00 m/s = 0 m/s + (0.400 m/s²)t
Rearranging the equation, we have:
t = (4.00 m/s) / (0.400 m/s²) = 10 s
Therefore, it will take the scooter 10 seconds to go from rest to a speed of 4.00 m/s.