(Solved): An artillery shell is fired with an initial velocity of \( 300 \mathrm{~m} / \mathrm{s} \) at \( 5 ...

An artillery shell is fired with an initial velocity of \( 300 \mathrm{~m} / \mathrm{s} \) at \( 50.0^{\circ} \) above the horizontal. To clear an avalanche, it explodes on a mountainside \( 42.0 \mathrm{~s} \) after firing. What are the \( x \) and \( y \) coordinates of the shell where it explodes, relative to its firing point? \[ \begin{array}{ll} x= & \mathrm{m} \\ y= & \mathrm{m} \end{array} \] Hint: Active Figure \( 3.15 \) [-/1 Points] WAS SERESSEN1 3.P.042.AF. A ball is thrown straight upward and returns to the thrower's hand after \( 3.30 \mathrm{~s} \) in the air. A second ball is thrown at an angle of \( 42.0^{\circ} \) with the horizontal. At what speed must the second ball be thrown so that it reaches the same height as the one thrown vertically? \[ \mathrm{m} / \mathrm{s} \] Hint: Active Figure \( 3.15 \) [-/1 Points] SERESSEN1 3.P.014. The helicopter view in Figure P3.14 shows two people pulling on a stubborn mule. Assume that \( F_{1} \) is \( 120 \mathrm{~N} \) and \( F_{2} \) is \( 75 \mathrm{~N} \). The forces are measured in units of newtons (N). Find the following. The helicopter view in Figure P3.14 shows two people pulling on a stubborn mule. Assume that \( F_{1} \) is \( 120 \mathrm{~N} \) and \( F_{2} \) is \( 75 \mathrm{~N} \). The forces are measured in units of newtons ( \( \mathrm{N} \) ). Find the following. Figure P3.14 (a) The single force that is equivalent to the two forces shown. magnitude \( \mathrm{N} \) direction \( \quad \) (counterclockwise from the \( +x \)-axis) \( ^{\circ} \) (b) The force that a third person would have to exert on the mule to make the net force equal to zero. magnitude \( \quad \mathrm{N} \) direction \( \quad{ }^{\circ} \) (counterclockwise from the \( +x \)-axis)