You have a summer job working for a University research group investigating the causes of the ozone depletion in the atmosphere. The plan is to collect data on the chemical composition of the atmosphere as a function of the distance from the ground using a mass spectrometer located in the nose cone of a rocket fired vertically. To make sure the delicate instruments survive the launch, your task is to determine the acceleration of the rocket before it uses up its fuel. The rocket is launched straight up with a constant acceleration until the fuel is gone 30 seconds later. To collect enough data, the total flight time must be 5.0 minutes before the rocket crashes into the ground.

Q: A science student is riding on a flatcar of a train traveling along a straight, horizontal track at…

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Q: A helicopter flies 78.0 m above the ground at 208 km/h horizontally and attempts to drop a package…

A: The height at which the helicopter flies y = 78 m.Speed of the helicopter Speed of the car

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A: The objective of this question is to find the speed of the water in the river flowing with respect…

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Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…

A: Given Angle θ     = 65° Height (h)   = 4.4 km = 4.4×103 m Speed v1 = 734 m/s b                = 0.3…

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Q: An athlete crosses a 21 m wide river by swimming perpendicular to the water current at a speed of…

A: a) Speed of the water in the river with respect to the ground is, dvR-G=wvsvR-G=vsdw=0.85 m/s39 m21…

Q: A swimmer is crossing a river at a speed of 1.5 m/s due west. The river’s current is 2.0 m/s due…

A: Speed of swimmer = 1.5 m/s (west) Speed of river's current = 2 m/s (south) Speed of swimmer with…

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Q: A champion dart thrower has decided that he could easily win a spear fishing contest. Unfortunately,…

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Q: A Water Balloon Battle. You are launching water balloons at a rival team using a large slingshot.…

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Q: The position of an electron is given by 7 = 8.66tî − 4.57t²ĵ + 8.69k, with t in seconds and in…

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Q: Two ships are moving along a line due east as shown in the figure. The trailing vessel has a speed…

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Q: An airplane takes 5 hours to travel a distance of 4800 miles with the wind. The return trip takes…

A: Write the expression of speeds when airplane travels with the wind. vp+va=48005vp+va=960 miles/h…

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Q: A jetliner can fly 6.8 hours on a full load of fuel. Without any wind it flies at a speed of 3.24 x…

A: Given Speed of the jetliner without any wind is v=3.24×102 m/s Speed of the wind is vw=75.9 m/s…

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A: Motion is a completely relative term. Each observer sees and analyze motion as perceived by him. The…

Q: An airplane takes 5 hours to travel a distance of 4500 miles with the wind. The return trip takes…

A: Given data:  Distance (d) = 4500 miles  Time taken to travel with the wind (t1) = 5 h Time taken to…

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Q: A sailboat sails from Marblehead Harbor directly east for 45 nautical miles, then 60 degree south of…

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Q: A charged particle moves under the influence of an electric field. Its x-position andy-position, as…

A: a At arbitrary time t, what is the particle’s velocity? Express your answer as a vector using i^ ,…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.