Answer:
Time, t = 2 seconds
Step-by-step explanation:
Given the following data;
Mass, m = 50 kg
Initial velocity, u = 0 m/s (since it's starting from rest).
Final velocity, v = 8 m/s
Force, F = 200 N
To find the time, we would use the following formula;
![F = \frac {m(v - u)}{t}](https://img.qammunity.org/2022/formulas/physics/high-school/ihhflvpdd0ur4g88uvm6cdgq9pg71l2vlv.png)
Making time, t the subject of formula, we have;
![t = \frac {m(v - u)}{F}](https://img.qammunity.org/2022/formulas/physics/high-school/3g2uaqv9zyqagg7kmwnudz544nugug8flb.png)
Substituting into the formula, we have;
![t = \frac {50(8 - 0)}{200}](https://img.qammunity.org/2022/formulas/physics/high-school/t1fh6n091fx0jwj5swbi95c0zra867id8f.png)
![t = \frac {50*(8)}{200}](https://img.qammunity.org/2022/formulas/physics/high-school/e3taz6etpy5ti20u2ya8x0viphjgz6e6xx.png)
![t = \frac {400}{200}](https://img.qammunity.org/2022/formulas/physics/high-school/5sn3sztdfk83i1oyrnnif092q1shoa4dbm.png)
Time, t = 2 seconds