The vehicle took 2.6 seconds to accelerate.
Acceleration is the rate at of change of velocity. It is a vector quantity. That is, it has both magnitude and direction.
Given that a vehicle accelerates to 22.60 m/s after being stopped at a red light. The vehicle travels 29.46 m while accelerating from the intersection. How fast was its acceleration?
The parameters to be considered are:
Let us first calculate the acceleration by using the formula
v² = u² + 2as
22.6² = 0 + 2 × a × 29.46
510.76 = 58.92a
a = 510.76 / 58.92
a = 8.67 m/s²
Now, we can know how fast was its acceleration by using the formula
v = u + at
22.6 = 0 + 8.67 × t
22.6 = 8.67t
t = 22.6 / 8.67
t = 2.61 s
Therefore, the vehicle took 2.6 seconds to accelerate.
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