A cyclist moves along a straight road such that the acceleration profile along the road is shown. The cyclist has an initial velocity of 5 ft/s corresponding to s = 0. (a) Draw the v-s curve for the cyclist. Determine the velocity of the cyclist where s = 251.2 ft. (b) Calculate the time when the cyclist reaches s = 90.005 ft.

Q: Two points in the xy plane have Cartesian coordinates (4.00, -3.50) m and (-7.50, 7.50) m. (a)…

A: Given that , coordinates ( 4 , - 3.5 ) ,  ( - 7.5 , 7.5 )

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Q: Q5) A point P moves at a constant speed v in a counterclockwise direction along a circle of radius a…

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Q: 11. The cart in the frictionless table below has a mass of 40 kg, and its acceleration is 2.0 m/s².…

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Q: nuclear physics 1. How many collisions is required for a 2.0 Mev neutron to be braked to an energy…

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Q: Working in a laboratory, you carefully measure 80.00 mL of solution ten times in a row, each time…

A: Here true value = 900.0 ml  Here measured value = (80.00)(10) ml

Q: (a) Calculate the object's instantaneous velocity vector at times t = 0,,,, and s. (b) Plot the…

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Q: In the game of tetherball, a 1.25-m rope connects a M = 0.850-kg ball to the top of a vertical pole…

A: Given value--- l = 1.25 m. M = 0.85 kg. angle = 37 degree. We have to find--- speed of ball ?

Q: An object weighing 500 N is placed in an elevator that is accelerating downward. What would have to…

A:

Q: A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds.…

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Q: Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window…

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Q: . All quantities here are in meters, written as (x, y, z) Given two vectors: A = (2.0 m, -1.0 m, 0.0…

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Q: Consider the function x(t) = 23 - 3.2t  describing the position of a carriage traveling along…

A: Given  X(t) = 23 - (3.2)t  Speed at t = 5 sec is ,

Q: A disoriented physics professor drives 3.25 km north, then 4.75 km west, and then 1.50 km south. A.…

A: Given:- The disoriented physics professor drives a following distance d1= 3.25 km north d2= 4.75Km…

Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…

A: height of satellite above the surface of earth (h) = 400 km radius of earth (r) = 6400 km value of g…

Q: Q2: A. Predict the pressure of nitrogen gas at T =-98 K and v=0.00375 m³/kg on the basis of (a) the…

A: Gi

Q: mass 200 g having a charge of -5 uC is held stationary in the gravitational field by applying an…

A:

Q: 2. Suppose Andrea and Beatrice push horizontally, but in exactly opposite directions, on a wagon…

A: Given:- The mass of the food and drink is m = 27 kg  Andrea exerts a force FA= 85 N  Beatrice exerts…

Q: 9. This graph plots the position, as a function of time, of an object that was thrown upward and…

A: Solution: If the object is thrown upward, at the highest position the velocity is zero and when it…

Q: Asphere of zine with a diameter of 2.67 cm. the volume bf a sphere is V = (413) Trr 3, the density…

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Q: spider crawling across a table leaps onto a magazine blocking its path. The initial velocity of the…

A: Motion of spider will be projectile motion. Motion of projectile can be divided into x components…

Q: I use a bucket on the end of a rope to raise/lower objects into/from my treehouse. Rather than risk…

A: Given data:  Mass of phone (m) = 0.2 kg Acceleration (a) = 1.1 m/s2, downward Required: The…

Q: Suppose a monatomic ideal gas is changed from state A to state D by one of the processes shown on…

A: Given data:  Pressure at point A (P1) = 1.50 atm Pressure at point B (P2) = 3.00 atm Volume at point…

Q: A 3.0-cm-diameter metal ball has a surface charge density of 10 μC/m². Part A How much work is…

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Q: Suppose your car was mired deeply in the mud and you wanted to use the method illustrated in the…

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Q: In the simulation, set up the situation shown above. Heat the iron and place it in the water. Assume…

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Q: An ocean wave whose vertical displacement y as a function of time t is given by Y (x, t) = 1.3 cos…

A:

Q: How m

A: GivenInitial velocity of boat, u=13 m/sFinal velocity of boat,v=26 m/sDistance travelled by boat,…

Q: Negative charge is uniformly distributed around a semicircle. The electric field that this charge…

A: Given data:  Negative charge is uniformly distributed around the semicircle Required: The direction…

Q: The positions of a particle along a straight line is given by s = 7.5e-0.51t - 1.8t + 1.1t2, where s…

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Q: find the field inside and outside a solid sphere of radius R that carries a volume charge density…

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Q: Describe the following vectors using the unit vectors i and j. a) A velocity of 10 m/s at an angle…

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Q: The three vectors in the figure have magnitudes a = 2.60 m, b = 2.70 m, and c = 10.0 m and angle 0 =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: You promised your younger brother that you would give him a ride on his sled. You first push him…

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Q: A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds.…

A: Given value--- initial speed = 15 m/s. time = 10 second.  final speed = 0 m/s  We have to find---…

Q: 4. Capacitors are used in many applications where one needs to supply a short burst of relatively…

A:

Q: How fast does- a car have to accelerate to go from 10.0 m/s tö 30.0 m/s in 125 m?

A: Given data:  Initial velocity (u) = 10.0 m/s Final velocity (v) = 30.0 m/s Distance (d) = 125 m…

Q: Answer in 3-5 sentences. 1. Relate the frequency of peak spectral power density of stars to their…

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Q: Consider positive and negative charges all moving horizontally with the same speed through the four…

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Q: A rocket-sled is shown below. It has 4 rocket engines, each of which generates 1.5 x 103 N of thrust…

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Q: (a) If G(x)=x²-7x + 7, find G'(a) and use it to find equations of the tangent lines to the curve y =…

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Q: On a particle level, what two factors contribute to an increase in pressure in a constant volume…

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Q: A train travels 120 km in 2 hours and 30 minutes. What is its average speed?

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Q: Your dog is running around the grass in your back yard. He undergoes successive displacements 3.25 m…

A: Given Data: Three successive displacements 3.25 m south, 7.89 m northeast znd 15.5 m west.

Q: Is the work done by an external force equal in magnitude to the work done by a conservative force?…

A: Yes, the magnitude of work done by external force will be equal to the work done by conservative…

Q: Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window…

A: Given that,  height of window h =  8 m horizontal distance from wall d = 9 m

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –