Your friend wants to show off how quickly their car can accelerate. So you get in and they start driving. You notice that the pine tree scented air freshener that hangs from the rear view mirror makes an angle of 26.5 degrees with respect to the vertical (straight down) direction while the car is accelerating. Using this angle, you pull out your calculator and find the car's acceleration. The answer is:

Q: NASA is launching a rocket into space from Earth.  This particular rocket burns its fuel for 5…

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Q: Problem 1. A team is testing a car's brake and gas pedals by measuring its speed over fifteen…

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Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…

A: Required to find the average speed of the robot.

Q: A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A: We have been given that h = 1.55 m t = 0.57 Using these values, the value of acceleration due to…

Q: skydiver drops d1 = 475 meters in t1 = 9.5 s before opening his parachute. After the chute opens, he…

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Q: A girl on a bicycle takes 15.4 s to ride half way around a circular track of radius 19.0 m (see the…

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Q: Destiny is eating lunch at her favorite cafe when her friend Jada calls and says she wants to meet…

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Q: You are scheduled to fly from Vancouver to San Francisco, USA, which is 1600 km away, due South.…

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Q: Part (a) What is the student's overall average velocity vavg, in meters per second, for the trip…

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Q: Kennedy decides to meet up with Meagan after school to discuss their catapult assignment. She walks…

A: Initially the person covers the distance towards west direction.Then the person covers towards the…

Q: A pen is dropped vertically 6 ft above the ground, 1 second later, someone grab the pen before the…

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Q: You shoot an arrow into the air. Two seconds later (2.00 s) the arrow has gone straight upward to a…

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Q: Problem 2: Att = 0, a truck is traveling east at a constant speed of s = 81 km/h. At an intersection…

A: Given: The speed of the truck is s. The distance between truck and car is d. The speed of the car is…

Q: A train slows down as it rounds a sharp horizontal turn, going from 82.0 km/h to 46.0 km/h in the…

A: Given A train slows down as it rounds a sharp horizontal turn, going from V1 to V2 in t sec. V1…

Q: A tricycle moving at a constant speed of 12.2 m/s approaches towards a jeep that is initially at…

A: Given: The constant speed of the tricycle is 12.2 m/s. The initial separation between vehicles is…

Q: In 2015, Hurricane Patricia set the record for highest wind speed, reaching maximum sustained winds…

A: Given: The record of highest wind speed by Hurricane Patricia: v1 = 215 mph. The top speed of…

Q: We have this equation in 1D: a = d v/ d t Multiply both sides of the the equation by dx, and put…

A: These are actually steps to find v2=u2+2as Here initial velocity is 0 as we have to integrate from 0…

Q: Whipple is beginning to feel as if he understands the concept of constant acceleration motion. After…

A: The equation of motion is given as:At a distance y, the final velocity is given as:The acceleration…

Q: An Aston Martin and a Bugatti are moving in the same direction along a perfectly straight part of…

A: The equations of linear motion we use to solve this are v = u+at s = ut + 12at2, where v = the final…

Q: A student begins at rest and then walks north at a speed of v₁ = 0.85 m/s. The student then turns…

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Q: After a constant acceleration of 3.96 m/s/s at 18.9 degrees above the +x-axis is applied by the…

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Q: If an object starts at x(0) = 0, v(0) = 1, and undergoes a constant acceleration a = -3 m/s^2, plot…

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Q: A girl on a bicycle takes 12.2 s to ride half way around a circular track of radius 20.0 m (see the…

A: (a) Write the expression for average speed

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

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Q: You are the technical advisor to a crew filming an action movie. The director wants a motorcycle to…

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Q: A student is testing the UAM equations by measuring the time it takes for light-weight plastic balls…

A: (D) The acceleration of the plastic balls is not uniform is the most likely cause of the large…

Q: A F35 fighter-jet is taking off straight up with a constant acceleration from ground 15.1 seconds…

A: Given:Time taken by jet = 15.1 sTime taken by tank = 31.9 sVelocity of jet before taking off =…

Q: A car is 2.52 km west of a traffic light at t = 0 and 4.28 km east of the light at t = 6.00 min.…

A: Given: at t=0 , car is at 2.52 km west of traffic light at t=6.0 min, car is at 4.28 km east of…

Q: What is the negative, real value of x that solves this equation? 4x²-13 = -2x² + 7x

A:

Q: A girl on a bicycle takes 13.6 s to ride half way around a circular track of radius 12.5 m (see the…

A: (a) Girl’s average speed is,

Q: An object with a mass of 2,000 kg moves with a constant speed of 20 m/s on a circular track with a…

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Q: An engineer is designing the runway for an airport. Of the planes that will use the airport, the…

A: Given data: Magnitude of minimum acceleration is, a=3 m/s2. Take-off speed is, v=65 m/s.

Q: a car is stopped at a red light. At t=0, the light turns green, and the car begins to accelerate at…

A: given distance to cover s =20.0 m acceleration a = 2 m/s2. at t= 0 , initial velocity u = 0 m/s…

Q: Wil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 181.8 m…

A: Every object on the surface of the earth attracts towards the center of the earth. A freely falling…

Q: Aride at an amusement park has malfunctioned. It Steadily lowers riders from the top of the 60 m…

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Q: You want to figure out just how crazy a driver your friend is. As one of many stop lights begins to…

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Q: As a city planner, you receive complaints from local residents about the safety of nearby roads and…

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Q: Lydia fired a model rocket vertically upward into the air. Granh A

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Q: In a time of 2.67 h, a bird flies a distance of 86.7 km in a direction 30.2 degrees east of north.…

A: Given data:  Time (t) = 2.67 h Distance (d) = 86.7 km Angle (θ) = 30.2° East of North Required: The…

Q: An airport terminal has a moving sidewalk to speed passengers through a long corridor. Larry does…

A: Given data The time required by larry to walk through the corridor is tl = 180 s. The time required…

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 –