Subjects physics

Car Acceleration E928F7

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1. **State the problem:** A race car starts from rest and accelerates uniformly to the right, reaching a velocity of 60 m/s in 15 s. We need to find the acceleration. 2. **Formula used:** The acceleration $a$ is given by the change in velocity over time: $$a = \frac{\Delta v}{\Delta t}$$ where $\Delta v$ is the change in velocity and $\Delta t$ is the time interval. 3. **Apply the values:** Initial velocity $v_0 = 0$ m/s (starts from rest), final velocity $v = 60$ m/s, time $t = 15$ s. 4. **Calculate acceleration:** $$a = \frac{60 - 0}{15} = \frac{60}{15}$$ 5. **Simplify the fraction:** $$a = \frac{\cancel{60}}{\cancel{15}} = 4$$ 6. **Interpretation:** The acceleration is $4$ m/s$^2$ to the right (positive direction). **Final answer:** The acceleration of the race car is $4$ m/s$^2$ to the right.