Answer:
Let's solve these two problems step by step:
1. The acceleration of the car:
You can use the formula for acceleration, which is:
\(a = {v - u}/{t})
where:
- \(a\) is acceleration,
- \(v\) is final velocity (10 m/s in this case),
- \(u\) is initial velocity (0 m/s since the car starts from rest), and
- \(t\) is time (2 seconds).
Plugging in the values:
\(a = {10 m/s - 0 m/s}/{2 s} = {10 m/s}/{2 s} = 5 m/s²)
So, the acceleration of the car is 5 m/s², which corresponds to option B.
2. The final velocity of an object starting from rest with an acceleration of 3.0 m/s² after a certain time:
You can use the following kinematic equation:
\(v = u + at)
where:
- \(v\) is the final velocity (which you want to find),
- \(u\) is the initial velocity (0 m/s since it starts from rest),
- \(a\) is the acceleration (3.0 m/s²), and
- \(t\) is the time (you haven't provided this value).
If you provide the value of time, I can calculate the final velocity for you.