A car is traveling in a race. The car went from the initial seconds. What is the acceleration?
-13 m / s ^2
-6 m / s ^2
6 m / s ^2
13 m / s ^2
Answer (2)
We are given the initial velocity, final velocity, and time interval.
We use the formula for constant acceleration: v f = v i + a t .
We solve for acceleration: a = t v f − v i .
We substitute the given values and find the acceleration: − 13 m / s 2 .
Explanation
Understanding the Problem We are given the initial velocity v i = 26 m / s , the final velocity v f = 0 m / s , and the time interval t = 2 s . We need to find the acceleration a .
Applying the Formula We can use the formula for constant acceleration: v f = v i + a \t .
Solving for Acceleration We need to solve for a . Rearranging the formula, we get: a = t v f − v i .
Calculating the Acceleration Now, we substitute the given values into the formula: a = 2 0 − 26 = 2 − 26 = − 13 m / s 2 .
Final Answer Therefore, the acceleration of the car is − 13 m / s 2 .
Examples
Understanding acceleration is crucial in many real-world scenarios, such as designing safer cars. For example, engineers use the principles of acceleration to calculate how quickly a car can decelerate when brakes are applied. Knowing the deceleration rate helps in designing effective braking systems and predicting stopping distances, which are vital for preventing accidents and ensuring passenger safety. Similarly, understanding acceleration helps in designing amusement park rides that provide thrilling yet safe experiences.
To determine the car's acceleration, we use the formula a = t v f − v i . Assuming the car stops from an initial speed of 26 m/s in 2 seconds, the calculated acceleration would be − 13 m / s 2 . Therefore, the correct answer from the options provided is − 13 m / s 2 .
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