Answer :
The acceleration of the car is 10.94 m/s².
Acceleration:
This is the rate of change of velocity. The S.I unit of acceleration is m/s²
Below is the formula for acceleration.
Formula:
- v² = u²+2as..................... Equation 1
Where:
- v = final velocity
- u = initial velocity
- a = acceleration
- s = distance.
Make a the subject of the equation
- a = (v²-u²)/2s................... Equation 2
From the question,
Given:
- v = 45 m/s
- u = 7.5 m/s
- s = 90 m
Substitute these values into equation 2
- a = (45²-7.5²)/(2×90)
- a = (2025-56.25)/180
- a = 10.94 m/s²
Hence, The acceleration of the car is 10.94 m/s²
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