Answer:

the bike did not travel any distance after it came to a stop due to the dog crossing the street, as its velocity reduced to zero.

Explanation:

To find the acceleration of the bike, we will use the formula:

acceleration = (final velocity - initial velocity) / time

The initial velocity of the bike is 56 m/s, and it comes to a stop, so the final velocity is 0 m/s. The time taken for the bike to come to a stop is 20 seconds. Plugging these values into the formula, we get:

acceleration = (0 m/s - 56 m/s) / 20 s

acceleration = -2.8 m/s^2

The negative sign indicates that the bike experienced deceleration.

To find how far the bike traveled in the given time, we will use the formula:

distance (d) = initial velocity x time + 0.5 x acceleration x time^2

The initial velocity of the bike is 56 m/s, the time taken for it to come to a stop is 20 seconds, and the acceleration is -2.8 m/s^2. Plugging these values into the formula, we get:

distance (d) = 56 m/s x 20 s + 0.5 x (-2.8 m/s^2) x (20 s)^2

distance (d) = 560 m - 560 m

distance (d) = 0 m

Therefore, the bike did not travel any distance after it came to a stop due to the dog crossing the street, as its velocity reduced to zero.