A car initially at rest accelerates uniformly to \( 15.0 \mathrm{~m} / \mathrm{s} \) over 6.00 s . What is the acceleration of the car? \[ a=[?] \mathrm{m} / \mathrm{s}^{2} \]

To find the acceleration of the car, you can use the formula for acceleration, which is the change in velocity divided by the time taken. The car accelerates from an initial velocity \( u = 0 \, \mathrm{m/s} \) to a final velocity \( v = 15.0 \, \mathrm{m/s} \) over a time \( t = 6.00 \, \mathrm{s} \). The formula is: \[ a = \frac{v - u}{t} = \frac{15.0 \, \mathrm{m/s} - 0 \, \mathrm{m/s}}{6.00 \, \mathrm{s}} = \frac{15.0 \, \mathrm{m/s}}{6.00 \, \mathrm{s}} = 2.50 \, \mathrm{m/s}^2 \] So, the acceleration of the car is \( a = 2.50 \, \mathrm{m/s}^2 \). --- In the early 20th century, automobile manufacturers began focusing on improving their cars' performance, leading to the development of efficient acceleration systems which played a huge role in changing urban landscapes. Cars became symbols of freedom and speed, revolutionizing transportation. Acceleration is not just an abstract physics concept; it’s crucial in real-life driving situations. Knowing your car's acceleration can help you measure merging capabilities or understand how quickly you can recover speed after slowing down. Always be mindful of vehicle weight and road conditions as they can dramatically impact how your car accelerates!