Question

a westward - moving bicycle increases its speed from 2.0 m/s to 12.0 m/s in 4.0 seconds.
what is the magnitude (i.e., value) and direction of the acceleration?
magnitude = m/s/s (no - sign.)
direction = -- (tap field to change.)

Explanation:

Step1: Recall the acceleration formula

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

Step2: Substitute the given values

Given \(u = 2.0\space m/s\), \(v=12.0\space m/s\), and \(t = 4.0\space s\).

$$
LATEXBLOCK0
$$

Since the velocity is increasing in the westward direction, the direction of acceleration is westward.

Answer:

Magnitude = \(2.5\space m/s/s\)
Direction = Westward