A car is traveling back and forth. Its velocity (in feet per second) after t seconds is given by v(t) = 9−3t . Determine the position of the car after four seconds if s(0) = 0 (where s(t) is the position function for the car). a) Find the total distance the car traveled from t = 0 to t = 4

Q: You are driving home from school steadily at 99 km/h for 190 km. It then begins to rain and you slow…

A: How far is your hometown from school. given, Initial speedv1=99 kmhInitial distance travelleds1=190…

Q: A boy runs for 16 seconds.  His minimum speed is 4 m/s, while his maximum speed is 5.5 m/s.…

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Q: A person walks 8 miles east and then walks 8 miles west from that point? What distance did he walk,…

A: A person walks 8 miles east and then walks 8 miles west from that point.

Q: A particle moves along the h-axis (dimension of length) so that: h = t3 - 3t2 - 45t (in feet, where…

A: the equation of particle along the h-axis is given by h(t) = t3 - 3t2 -45t  ------- (1) to determine…

Q: A baseball is thrown straight down from a height of 38 meters. If the ball strikes the ground at 30…

A: Given data: Height (h) = 38 m Final velocity (v) = 30 m/s, downward g = 9.80 m/s2 Required: Initial…

Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A: Given data: The number of laps is n=200. The length of each lap is s=2.5 mile. Time taken is t=2hr…

Q: Dan Koko fell a distance of 312 feet into an airbag after jumping from the Vegas World Hotel and…

A: Given in question - Distance(D) = 312 feet                                  Distance formula: d =…

Q: (a) Calculate the height (in m) of a cliff if it takes 2.10 s for a rock to hit the ground when it…

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Q: If a cheetah sees a rabbit 114.0 m away, how much time ftotal will it take to reach the rabbit,…

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Q: In a marathon race (42.195 km), the winner's time is 2 hours, 18 minutes, and 35 seconds, while the…

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Q: In heavy traffic, a car travels 26.3 km in 31.0 min. Assuming the velocity is constant, determine…

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: A body moving in a straight line. The following equation determines its location (3-x=2+t(t),…

A: Equation determining the location is given by:3-x=2+t(t)or t2=1-x

Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down…

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Q: 1) A student travels 10 miles east from his home to Ocean County College. However, his odometer…

A: Given:Position of college from his home = 10 miles towards eastOdometer reading = 15 miles

Q: A person who walks for exercise produces the position-time graph shown. Calculate the average…

A: Given data:  Position vs time graph Required: The average velocity for segment A, B and C

Q: Write an equation to model the height of a golf ball above the ground t seconds after it has been…

A: Given data- A golf ball hit at the ground, so height of the ball after t seconds is given by second…

Q: Alice is riding a bike at 12 mph, but decides to sprint.  She takes 0.7 s to accelerate to 19 mph.…

A: Acceleration defined as a rate of change of velocity. Acceleration is a vector quantity, because it…

Q: If it usually takes you three hours to arrive to Aqaba (from Amman) using a passenger car with a…

A: Time , T1 = 3 hours  Mass speed , V1 = 100 km/hr To find = Time required with the given vehicle.

Q: A baseball is hit almost straight up into the air with a speed of 24 m/s . Estimate how long it is…

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Q: A person travels by car from one city to another with different constant speeds between pairs of…

A: Determine the distance traveled when the speed is 70 km/h. Determine the distance traveled when the…

Q: a person walks for 1.00 hr at a speed of 2.00 mi/hr. he stops for 1.00 hr. he then starts walking…

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Q: A car starting from rest is accelerated for 1 m/s2 for (5+5) seconds. It continues at constant…

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Q: Complete the following table and answer the questions given below. height h (cm) Time t, (s) Time tz…

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Q: In the given equation, v = At² + Bx, 'v' is the velocity, 'x'is displacement, and 't'is the time.…

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Q: A car is driven 12.0km North and then 4.00km East. a)  What is the car’s displacement ?  b) If the…

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Q: QI (a) Particles X and Y start from rest at the origin s= 0 and move along a straight line such that…

A: The initial velocities of particles X and Y are given as zero. The accelerations of the particles X…

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 –