A ball of mass 50 kg and a speed of 5 m/s moves from the position q = 00 to q = 300. Evaluate the rate at which the ball's speed is decreasing at the
position
q = 300.

a. 3.95 m/s2
b. 3.35 m/s2
c. 3.60 m/s2
d. 3.00 m/s2

an = v2/r = 52/5 = 5 m/s2
Consider the forces acting on the ball in the horizontal and vertical directions

T sin q + m an sin q = m at cos q
T cos q + m an cos q + m at sin q = mg

=>   0.5 T + 125 = 43.3 a
t ---------- (1)
and 0.866 T + 25 at = 490.5 - 216.5 = 274 ---------(2)

Solving (1) and (2), we have at = 3.35 m/s2

The rate at which the ball's speed is decreasing at
q
= 300 is 3.35 m/s2