Chapter 3, Problem 2PC

Calculate the acceleration of a bike that goes from to in .

To determine

The acceleration of the bike.

Answer to Problem 2PC

The acceleration of the bike is $\text{3}\text{m}/{\text{s}}^{\text{2}}$ .

Explanation of Solution

Given Info:Final velocity is $20\text{m}/\text{s}$ , initial velocity is $8\text{m}/\text{s}$ , and time taken is $4\text{s}$ .

Write the expression for the acceleration.

$a=\frac{v_f-v_i}{t}$

Here,

$v_f$ is the final velocity.

$v_i$ is the initial velocity.

$t$ is the time taken.

Substitute $20\text{m}/\text{s}$ for $v_f$ , $8\text{m}/\text{s}$ for$v_i$ , and $4\text{s}$ for $t$ in the above expression to get $a$ .

$\begin{array}{c}a=\frac{20\text{m}/\text{s}-8\text{m}/\text{s}}{4\text{s}}\\ a=\frac{12\text{m}/\text{s}}{4\text{s}}\\ a=\text{3}\text{m}/{\text{s}}^{\text{2}}\end{array}$

Conclusion:

Therefore, the acceleration of the bike is $\text{3}\text{m}/{\text{s}}^{\text{2}}$ .