#4 1) Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50 m due east, then 0.80 m at 30° northof due east. Beetle 2 also makes two runs; the first is 1.6 m at 40° east of due north. What must be the magnitudeand direction of its second run if it is to end up at the new location of beetle 1? Use vector components to solve thisproblem. [Answer: 0.84 m at 79° south of due east)2) The position of a nanoparticle as a function of time is x(t) = -(1.0 m/s²)t² +(1.0 m/s)t + 6 m, where x is measured inmeters, t is measured in seconds and t>0. (a) What is the displacement of the particle between t= 0.0 and t = 2.0seconds? (b) What is the speed of the nanoparticle when t = 2.0 seconds? (c) What is the maximum position of theparticle and at what time does it get there?[Answers: (a) -2.0 m, (b) -3 m/s, (c) 6.25m]3) A bolt is dropped from a bridge under construction, falling 90 m to the valley below the bridge. (a) In how much timedoes it take to pass through the last 20% of its fall? What is its speed (b) when it begins that last 20% of its fall, and(c) when it reaches the valley beneath the bridge? [(a) 0.45 s, (b) 38 m/s, (c) 42 m/s]4) A boy throws a rock with an initial velocity of 2.15 m/s at 30.0° above the horizontal. If air resistance is negligible...a) how long does it take for the rock to reach the maximum height of its trajectory? b)How far from the boy does therock land? c) What is the velocity of the rock just before it hits the ground? (0.110s, 0.408m, 2.15m/s @-30.0°)

Notice that in the given question the initial and final height of the rock is the same. This makes…

4) A boy throws a rock with an initial velocity of 2.15 m/s at 30.0° above the horizontal. If air resistance is negligible... a) how long does it take for the rock to reach the maximum height of its trajectory? b)How far from the boy does the rock land? c) What is the velocity of the rock just before it hits the ground? (0.110s, 0.408m, 2.15m/s @-30.0°)