A flat-bed truck travels East on a highway at 80.0km/h. As the truck is moving, a cyclist is inside, pedaling at 4.5m/s [East] relative to the truck. The cyclist throws a banana peel backwards over his shoulder at 5.50m/s relative to himself. Determine the velocity of the banana peel relative to the highway. ty
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A flat-bed truck travels East on a highway at 80.0km/h. As the truck is moving, a cyclist is inside, pedaling at 4.5m/s [East] relative to the truck. The cyclist throws a banana peel backwards over his shoulder at 5.50m/s relative to himself. Determine the velocity of the banana peel relative to the highway.
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- Two cars approach each other on a straight and level road. CarA is traveling at 50 km/h , due east and car B is traveling at 60 km/h , due west . Both velocities are measured relative to the ground . What is the velocity of car B relative to an observer in car A?A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t= 0s, the x components of the puck's initial velocity and acceleration are Vox = +1.4 m/s and a, = +7.5 m/s2. The y components of the puck's initial velocity and acceleration are Voy =+9.2 m/s and a, = -6.4 m/s?. Find (a) the magnitude v and (b) the direction 8 of the puck's velocity at a time of t= 0.50 s. Specify the direction relative to the +x axis. (a) v= i (b) 0 = degrees the +x axisTwo cars approach each other at an intersection. Car A is traveling south at 30 m/s, while car B is traveling 70 degrees north of east at 50 m/s. What is the speed (in m/s) of car A as seen by the driver of car B?
- You have exactly 3 minutes 34 seconds to get to your next class on time and that classroom is 448 m east of where you are right now. First you run to your dorm room at an average velocity of 5.73 m/s to the south to pick up your calculator and your dorm room is 174 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time? 2.62 m/s 2.91 m/s 2.25 m/s 5.73 m/sCedar has been trying to get Liam's attention for weeks. He decides to make a paper airplane to hit Liam in the back of his head (and grab his attention). If the paper airplane flies 2.64 m [W 26˚ N] and then is caught by the wind, which causes it to travel 3.21 m [S 12˚ E]. What is the paper airplane's total displacement? (please hand-write it and make it clear)A space vehicle is coasting at a constant velocity of 20.5 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.351 m/s2 in the +x direction. After 33.2 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.
- A child runs straight off the end of a level dock moving at 3.2 m/s. The surface of the dock is 75cm above the water. How far from the end of the dock does the child land in the water?You have exactly 5 minutes 25 seconds to get to your next class on time and that classroom is 408 m east of where you are right now. First you run to your dorm room at an average velocity of 4.48 m/s to the south to pick up your calculator and your dorm room is 470 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time? 1.92 m/s 4.48 m/s 2.83 m/s 2.70 m/sA puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis
- A space vehicle is coasting at a constant velocity of 17.0 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.291 m/s2 in the +x direction. After 54.3 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.The Starship Enterprise returns from warp drive to ordinary space with a forward speed of 57 km/s. lo the crow's great surprisc, a Klingon ship is 150 km directly ahead, traveling in the same direction at a mere 21 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 4 5s The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant Hint: Draw a position versus time graph showing the motions of both the Enterprise and the Klingon ship. Let æn - 0km be the location of the Interprise as it returns from warp drive I low do you show graphically the situation in which the collision is "barely avoided"? Once you decide what it looks like graphically, express that situation mathematically. Express your answer to two significant figures and include the appropriate units. a = μA Value m s² Review |…A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axis