Can you tell me how to do? because I have no idea what formula I can use.
- Thread starter bangdream
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Acceleration \(a\) is defined to be the time rate of change of velocity \(v\), that is:
[MATH]a(t)=\frac{d}{dt}v(t)[/MATH]
So, differentiating the given velocity function with respect to time will give you the acceleration as a function of time. What do you get for the acceleration function?
[MATH]a(t)=\frac{d}{dt}v(t)[/MATH]
So, differentiating the given velocity function with respect to time will give you the acceleration as a function of time. What do you get for the acceleration function?
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To follow up:
a) [MATH]A(t)=4+16t=4(4t+1)\implies A(1)=20\frac{\text{m}}{\text{s}^2}[/MATH]
b) [MATH]v(t)=0[/MATH]
[MATH]4t+8t^2=0[/MATH]
[MATH]4t(1+2t)=0[/MATH]
We would likely assume \(0\le t\) and so \(t=0\) is the only root we would consider.
a) [MATH]A(t)=4+16t=4(4t+1)\implies A(1)=20\frac{\text{m}}{\text{s}^2}[/MATH]
b) [MATH]v(t)=0[/MATH]
[MATH]4t+8t^2=0[/MATH]
[MATH]4t(1+2t)=0[/MATH]
We would likely assume \(0\le t\) and so \(t=0\) is the only root we would consider.