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**1. Not sure if it's the right forum but I'll try. The velocity of an particle varies quadratic with a formula based on time**

a) Find the equation for acceleration and length as a function of time.

a) Find the equation for acceleration and length as a function of time.

b)

**a = 3 m/s^3 (I think it's alpha)**

Find the acceleration when t1=2s t2=5s and how big is the mean acceleration in the time intervall t2-t1.

Find the acceleration when t1=2s t2=5s and how big is the mean acceleration in the time intervall t2-t1.

**2. See picture**

**3. a) I think you can use the formula
saying u=0 (start velocity) and say a=(v-u)/t**

And do the same for
where s= length. But is it that easy or are they looking for a different solution, as this is something I learned few years ago. Or do I have to antiderivate it, which would make it complicated because there is no known fact.

And do the same for

b) If a) is right could I then say solve v(t) which gives me t=3 alpha= 3 --> v(t)=27 m/s, and then get acceleration by the 2nd formula