Final answer:
The acceleration of a bicyclist who starts from rest and reaches a velocity of 7 m/s in 4 seconds is 1.75 m/s².
Step-by-step explanation:
The question is asking for the acceleration of a bicyclist who starts from rest and reaches a velocity of 7 m/s in 4 seconds.
Acceleration is defined as the change in velocity over time. To calculate this, we use the formula:
a = (v - u) / t
Where:
a is the acceleration,
v is the final velocity,
u is the initial velocity, and
t is the time taken to change velocity.
Since the bicyclist starts from rest, u = 0, v = 7 m/s, and t = 4 s. Plugging these values into the formula gives us:
a = (7 m/s - 0 m/s) / 4 s = 7/4 m/s² =
1.75 m/s²
.
Thus, the acceleration of the bicyclist is 1.75 m/s².