You are given a launcher that launches a dart at very high speed. You are shown that the dart, when shot toward a wooden surface, sticks to that surface. You are asked to determine the speed of the dart when it emerges from the launcher. Your only available equipment is a meter stick, an electronic scale, and a wooden block several times more massive than the dart and fitted with wheels on frictionless bearings.

a) For this part only, suppose you are also given a stopwatch, but that the dart itself moves so quickly that it is impossible to time it's motion directly with any accuracy.

i.) Outline a procedure you could follow that would allow you to make measurements necessary to calculate the dart's speed after launch.

ii.) Explain how the measurements that were made in part (a)-i would be used to calculate the launch speed of the dart.

b) For this part, suppose you have no stopwatch and must use the projectile motion principles in order to calculate the dart's launch speed. However, the dart is launched so quickly that it doesn't lose any noticable height before colliding with a surface.

i.) Outline a procedure you could follow that would allow you to make measurements necessary to calculate the dart's speed after launch.

ii.) Explain how the measurements made in (a)-i would be used to calculate the launch speed of the dart.