The cyclist has the acceleration is -0.08m/s².
Acceleration is given by the ratio of resultant or total force acting on any object and the its mass.
It can also be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Given is a cyclist is riding his bike up a mountain trail. When he starts up the trail, he is moving with 8 m/s. As the trail gets steeper, he slows to 3 m/s in 1 minute.
1 minute = 60 seconds
The acceleration will be
a = 3 - 8 /60
a = - 0.08333 m/s²
Approximately, acceleration a = - 0.08 m/s²
Thus, the cyclists acceleration is -0.08m/s².
Learn more about acceleration.
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