In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.672 m. at one point on this circle, the ball has an angular acceleration of 63.8 rad/s2 and an angular speed of 12.8 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction

a) a= 118.15 m/s²

b)θ=20.80°

Explanation:

Given that

r= 0.672 m

Angular acceleration ,α = 63.8 rad/s²

Angular speed ,ω = 12.8 rad/s

Tangential acceleration at

at = α .r

at ==63.8 x 0.672

at = 42.87 m/s²

Centripetal acceleration ac

ac= ω² r

ac =12.8² x 0.672

ac= 110.1 m/s²

So the total acceleration a

a= 118.15 m/s²

Angle θ

θ=20.80°

the expression 15n + 2(3p) represents the amount isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. which statement is true about the amount isaiah spent?

waves moving from a fast medium to a slow medium will experience a reflection as light travels more slowly than red light. total internal reflection occurs when the critical angle is.