Question

A body moving with uniform acceleration has a velocity of 15.9 cm/s when its x coordinate is 1.34 cm. If its r coordinate 1.17 s later is -5.8 cm, what is the r-component of its acceleration? Answer in units of cm/s^2.

Answer 1

To find the r-component of the body's acceleration, you can use the kinematic equations and rearrange them to solve for the acceleration.

Step-by-step explanation:

To find the r-component of the body's acceleration, we need to use the kinematic equations. Given that the body moves with uniform acceleration, we can use the equation:

r = r0 + v0*t + (1/2)*a*t^2

Given that the x coordinate at t = 1.17 s is 1.34 cm and the r coordinate is -5.8 cm, we can rearrange the equation to solve for the acceleration:

a = (2*(r - r0) - v0*t) / (t^2)

Plugging in the values, we get:

a = (2*(-5.8 - 1.34) - 15.9*1.17) / (1.17^2)

Solving this equation will give us the r-component of the body's acceleration.