$(6$ pts$)$ An airplane engine starts from rest; and$8\mathrm{.}00$ seconds later, it is rotating with an angular speed of $240$ rev$/$min$.$If the angular acceleration isconstant, how many revolutions does the propeller undergo during this time?a$.4\mathrm{.}00$b$.8\mathrm{.}00$c$.12\mathrm{.}0$d$.16\mathrm{.}0$e$.32\mathrm{.}02.(6$ pts$)$ A wheel, originally rotating at $126$ rad$/$s undergoes a constant angular deceleration of $5\mathrm{.}00$ rad$/$s$?.$ What is its angular speed after it has turned through an angle of $948$ radians?a$.62\mathrm{.}4$ rad$/$sb$.80\mathrm{.}0$ rad$/$sc$.98\mathrm{.}0$ rad$/$sd$.121$ rad$/$se$.159$ rad$/$s$3.(6$ pts$)$ A ball attached to a string starts at rest and undergoes a constant angular acceleration as it travels in a horizontal circle of radius $53$ cm$.$ After $0\mathrm{.}65$ sec$,$ the angular speed of the ball is $9\mathrm{.}7$ rad$/$s$.$What is the tangential acceleration of the ball?a$.0\mathrm{.}32$ m$/$s~b$.4\mathrm{.}5$ m$/$s~c$.7\mathrm{.}9$ m$/$s$2$d$.15$ m$/$se$.28$ m$/$s$2$