Answer:
The magnitude of acceleration is 2m/s² .
Step-by-step explanation:
First, you have to find the velocity as it starts to travel 200m in 10s. The formula of velocity is V = Distance/Time, then you have to substitute the values into the formula :
![v = d / t](https://img.qammunity.org/2021/formulas/physics/high-school/6qojek74wte92xmzzet7nlue7zsz5whs3u.png)
![let \: d = 200 \\ let \: t = 10](https://img.qammunity.org/2021/formulas/physics/high-school/1tebfbp6hxivajm3gtmmjnk00ceo2plr0j.png)
![v = 200 / 10](https://img.qammunity.org/2021/formulas/physics/high-school/2hfq25p7t8pflt1g8snuh6j3jznsr75ecx.png)
![v = 20m/s](https://img.qammunity.org/2021/formulas/physics/college/1kh8wcnfacbed9osg07egcnyzg8xw4b13r.png)
Next, you have to substitute the values into the acceleration formula, a = (v-u)/t where v represents final velocity, u is initial velocity and t is time taken :
![a = (v - u)/(t)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gxitr7uuxifmetjtay2k0im4353z9qnejq.png)
![let \: v = 20 \\ let \: u = 0 \\ let \: t = 10](https://img.qammunity.org/2021/formulas/physics/high-school/keua5qmm4mxfgybszhmafm8tn59amv9anq.png)
![a = (20 - 0)/(10)](https://img.qammunity.org/2021/formulas/physics/high-school/dzv6onstkycscu8lg3nipjm1jr7qcgeth3.png)
![a = (20)/(10)](https://img.qammunity.org/2021/formulas/physics/high-school/7h2543xndhgriu37uodtfij33rchrwzoym.png)
![a = 2m/ {s}^(2)](https://img.qammunity.org/2021/formulas/physics/high-school/angb9hta30r9xvn39t82t544waz0jn23gf.png)