1/ A projectile is fired with an initial speed of 1000 m/s at anangle of 37o abo

Question

1/ A projectile is fired with an initial speed of 1000 m/s at anangle of 37o above the
horizontal. If air resistance is neglected, the horizontalcomponent of the projectile’s
velocity after 20 s is approximately ...?

2/ A child is sitting on the seat of a swing with ropes 10 m long.Her father pulls the
swing back until the ropes make a 37o angle with the vertical andthen releases the
swing. If air resistance is neglected, what is the speed of thechild at the bottom of the
arc of the swing when the ropes are vertical?

Explanation / Answer

1) the horizontal velocity is unchanged : => Vx = 1000*cos(37) = 798.6 m/s 2)conservation of energy : mgL(1-cos(37)) = (1/2)mV^2 => velocity : V = (2gL(1-cos(37))) = 6.28 m/s

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