Final answer:
The initial speed of the motorcycle was 15 m/s.
Step-by-step explanation:
To find the initial speed of the motorcycle, we can use the equation:
final speed = initial speed + (acceleration * time)
Plugging in the given values:
Final speed = 35 m/s
Acceleration = 4.0 m/s²
Time = 5.0 s
we can rearrange the equation to solve for the initial speed:
initial speed = final speed - (acceleration * time)
Substituting the values, we get:
initial speed = 35 m/s - (4.0 m/s² * 5.0 s)
Simplifying the equation:
initial speed = 35 m/s - 20 m/s
initial speed = 15 m/s
Therefore, the initial speed of the motorcycle was 15 m/s.