Question

1. calculations a roller coaster car rapidly picks up speed as it rolls down a slope. as it starts down the slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it 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rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. as it starts down the slope, its speed is 4 m/s. as it rolls down a slope, its speed is 4 m/s. but 3 seconds later, at the bottom of the slope, its speed is 22 m/s. what is its average acceleration?

Explanation:

Step1: Recall acceleration formula

The formula for average acceleration is $a=\frac{v - u}{t}$, where $v$ is the final velocity, $u$ is the initial velocity, and $t$ is the time - interval.

Step2: Identify values

We are given that the initial velocity $u = 4\ m/s$, the final velocity $v = 22\ m/s$, and the time $t=3\ s$.

Step3: Substitute values into formula

$a=\frac{22 - 4}{3}=\frac{18}{3}$.

Step4: Calculate result

$a = 6\ m/s^{2}$.

Answer:

$6\ m/s^{2}$