To find the acceleration of the car and its position when it reaches a velocity of 75 km/h, we can use the following formulas:
a) Acceleration (a) can be calculated using the formula: a = (vf - vi) / t
where: vf = final velocity = 75 km/h = (75 * 1000) / 3600 m/s = 20.83 m/s (approx.) vi = initial velocity = 0 m/s t = time = 15 seconds
Plugging the values into the formula: a = (20.83 m/s - 0 m/s) / 15 s a ≈ 1.39 m/s² (approx.)
Therefore, the acceleration of the car is approximately 1.39 m/s².
b) The position of the car when it reaches a velocity of 75 km/h can be found using the formula: s = vi * t + 0.5 * a * t^2
where: vi = initial velocity = 0 m/s t = time = 15 seconds a = acceleration = 1.39 m/s² (approx.)
Plugging the values into the formula: s = 0 m/s * 15 s + 0.5 * 1.39 m/s² * (15 s)^2 s ≈ 10.42 m (approx.)
Therefore, the position of the car when it reaches a velocity of 75 km/h is approximately 10.42 meters.