In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This is because the initial kinetic energy is small compared with the gain in gravitational potential energy even on small hills.) To demonstrate this, find the final speed in m/s and the time taken in seconds for a skier who skies 64.0 m along a 29° slope neglecting friction for the following two cases. (Enter the final speeds to at least one decimal place.)   (a) starting from rest final speed _____m/s time taken _____s   (b) starting with an initial speed of 3.00 m/s final speed _____m/s time taken _____s   (c) Does the answer surprise you? Discuss in detail why it is still advantageous to get a running start in very competitive events.

Q: A man on a motorcycle plans to make a jump as shown in the figure. If he leaves the ramp with a…

A: In this case, we can use projectile motion concept because the biker is subjected to no other force…

Q: demonstrate this, find the final speed and the time taken for a skier who skies 62.5 m along a slope…

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Q: Use the definition of scalar product, á · b = ab cos 8, and the fact that á · b = abx + a,by + azb,…

A:

Q: a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This is…

A: given that  θ = 27° s= 60 m Vertical height = scosθ = 60 cos 27 = 53.46 mt loss in potential energy…

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length…

A: The natural length of a spring is 26cm.The work is(W)1= 4J is required to change the length of the…

Q: If a 3.15 kg object is placed on a frictionless incline of 70.5 º and released from rest, what is…

A: Given, mass of the object, m = 3.15 kg angle of inclination of the plane, θ = 70.5° initially the…

Q: Using the definition of the scalar product, find the angle between the following vectors. (Find the…

A:

Q: Consider the following model of a very simple economy. Household saving and investment behavior…

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Q: Find the work done by a person weighing 160 lb walking exactly one revolution(s) up a circular,…

A: A person of weight F=160 lb is walking up a spiral staircase of radius r=4 ft and he rises up to a…

Q: Suppose that 6 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

A:

Q: Suppose that 2 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

A:

Q: The engines in high-end sports cars deliver a lot of power. For instance, a certain car of mass…

A: Given in question:  mass of the car (m) = 2058 Kg the initial speed of the car (u) = 0 m/s the final…

Q: A 79.0-kg skier starts from rest from the top of a 50-m high slope. What is the speed of the skier…

A: Givenheight, h=50 mmass, m=79 kginitial speed, u=0we can use conservation of mechanical energy here…

Q: 3. A rock is dropped (from rest) from the top of a 60-m-tall building. How far above the ground is…

A: According to Newton's 2nd equation of motion, h = ut + 1/2 at2   -------------(1) Where u is initial…

Q: Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length…

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Q: Using the definition of the scalar product, find the angle between the following vectors. (Find the…

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Q: In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves…

A: Draw the schematic diagram of the system.

Q: Using the definition of the scalar product, find the angles between (a) A = 3î – 2j and B = 4i – 4j,…

A:

Q: along the horizontal at its end, which is 0.610 m above the ground. When she leaves the track, she…

A:

Q: If an arrow is shot upward on Mars with a speed of 61 m/s, its height in meters r seconds later is…

A: The average velocity of the arrow in the interval [t1, t2] is given by, vave=y(t2)-y(t1)t2-t1

Q: A variable force of 7x-2 pounds moves an object along a straight line when it is x feet from the…

A: Solution

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a length…

A: Work done is  when spring stretched from natural length  to Note:Find:(a) Work done needed to…

Q: (c) Use both methods to calculate ā · b for each of the following cases: (i) if ā = (-4, –9) and b=…

A: Given data: (i) The coordinate of the vector is, a→=-4, -9b→=-1, 2 (ii) The magnitude of vectors and…

Q: An object is thrown up from the height h0 with the speed 20 m/s. If the maximum height that the…

A: Given data The initial height is ho The maximum height is h1=30 m The initial speed is u=20 m/s The…

Q: Given the graph of position vs time (picture), draw appropriate graphs of velocity vs time and…

A: The slope of y-t graph gives velocity. The slope of v-t graph gives acceleration.

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.