Answer:
a) 1.248 rad/s
b) 13.728 m/s
c) 0.52 rad/s^2
d) 17.132m/s^2
Step-by-step explanation:
You have that the angles described by a astronaut is given by:

(a) To find the angular velocity of the astronaut you use the derivative og the angle respect to time:
![\omega=(d\theta)/(dt)=(d)/(dt)[0.260t^2]=0.52t](https://img.qammunity.org/2021/formulas/physics/college/dmfkfm91wtnwkil4fz90pm6fg8gq26syoa.png)
Then, you evaluate for t=2.40 s:

(b) The linear velocity is calculated by using the following formula:

r: radius if the trajectory of the astronaut = 11.0m
You replace r and w and obtain:

(c) The tangential acceleration is:

(d) The radial acceleration is:
