The index of refraction of the core of a typical fiber optic is n_{core} core  = 1.51; the cladding has n_{clad} clad  = 1.43. calculate the critical angles for the total internal reflection i_{crit}i crit  and α_{crit}α crit .

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. how long will the ball be in the air before it lands? round your answer to the nearest tenth. s how far will the football travel before it lands? round your answer to the nearest tenth. m