A car initially traveling at 5 m/s accelerated uniformly to a speed of 19 m/s over a distance of 3 meters. What is the magnitude of the car's average acceleration? Report your answer to 1 decimal place if the answer is a whole number do not put a decimal in it. Do not type in the unit or the computer will mark your answer incorrect.
Question
A car initially traveling at 5 m/s accelerated uniformly to a speed of 19 m/s over a distance of 3 meters. What is the magnitude of the car's average acceleration? Report your answer to 1 decimal place if the answer is a whole number do not put a decimal in it. Do not type in the unit or the computer will mark your answer incorrect.
Solution
To solve this problem, we can use the equation of motion: v^2 = u^2 + 2as, where:
v = final velocity = 19 m/s u = initial velocity = 5 m/s a = acceleration (which we are trying to find) s = distance = 3 m
Rearranging the equation to solve for acceleration gives us: a = (v^2 - u^2) / (2s)
Substituting the given values into the equation gives us: a = ((19 m/s)^2 - (5 m/s)^2) / (2 * 3 m)
Solving this gives us: a = (361 - 25) / 6 = 336 / 6 = 56 m/s^2
So, the magnitude of the car's average acceleration is 56.
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