1M1 Section 4 video 8: follow-up

Suppose that a particle of mass m moves with position vector given by r(t) as shown where v and g are constants. What is the acceleration vector?

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Suppose that a particle of mass m moves with the same position vector as question 1 which is shown. What is the speed of the particle?

• $\sqrt{v^2+\left(gt\right)^2}$

• $v$

• $g$

• $\sqrt{\left(vt\right)^2+\frac{\left(gt^2\right)^2}{4}}$

Suppose that a particle of mass m moves with the same position vector as question 1 which is shown. What is the angular momentum of this particle?

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Suppose that a particle of mass m moves with the same position vector as question 1 which is shown. What is the angular momentum of this particle about the positive x-axis?

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Compute the work done by the force shown in the picture moving a particle along the curve given by  $x\left(t\right)=vt,\ y\left(t\right)=-\frac{gt^2}{2}$  for t going from 0 to 2. As before, m, v and g are constants.

•  $2mg^2$  

•  $mg$  

•  $mg^2$  

•  $2mg$