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A boomerang is thrown such that its position at any time 1 2 0 is given...
A boomerang is thrown such that its position at any time t > 0 is given by the function a(t) = 10 - 1242 – 4. Determine the time that the boomerang turns around (changes direction). a) O ܝܙ ܙܒܬ b) o 3 c) ته انه d) O-4 e) 06
Switch S has been at position a for a very long time and is then thrown to position b. You know that the capacitance C is 17.0 uF. Your data logger makes a graph of the voltage across the capacitor as a function of time, with t = 0 being the instant the switch was thrown to position b. The graph is shown in the figures below. AV (V) 30 25 20 15 10 5 has t (ms) 10 15...
(4 points) A stone is thrown from a rooftop at time t=0 seconds. Its position at time t is given by r(t) = 4ti — 2tj + (24.5 – 4.912) k. The origin is at the base of the building, which is standing on flat ground. Distance is measured in meters. The vector i points east, j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds. (the...
(1 point) A stone is thrown from a rooftop at time t 0 seconds. Its position at time t (the components are measured in meters) is given by r()-бі-50+ (24.5-49:2) k. The origin is at the base of the bulding, which is standing on flat ground. Distance is measured in meters. The vector i points east,j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds (c) Where...
At time t = 0 s, a rock is thrown vertically upward from the ground. At time t = 1.6 s, it passes the top of a tall tower. 0.80 s later, it reaches its maximum height. Q)How fast is the rock moving as it passes the top of the tower? A car moving with constant acceleration covers the distance between two points 120 m apart in a time of 8.0 s. Its speed at the second point is 12...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Review For Finale 1. An apple is thrown down from atop the Statue of Liberty. Its position in meters is given according to the function -4.9t2-6.0t +46. Determine the velocity of the apple after 3.1 seconds. 2. An airplane travelling at 506 km/h horizontally drops a care package from a height of 880 m above the ground. How far in front of the release point will the care package hit the ground? 4. Carry out the following arithmetic, assuming all...
A particle moves along the x axis. Its position is given by the equation x = 1.5+ 2.5t -3.8t2 with x in meters and t in seconds. (a) Determine its position when it changes direction (b) Determine its velocity when it returns to the position it had at t =0? (Indicate the direction of the velocity with the sign of your answer.)
A particle moves along the x axis. Its position is given by the equation x = 1.5 + 2.9t − 3.6t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. m (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) m/s
A particle moves along the x axis. Its position is given by the equation x = 2.1 + 2.7t − 3.5t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. m (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) m/s