The position of a particle as it moves along the x axis is given for t > 0 by x = (t3 − 3t2 + 6t)m,where t is in s.Where is the particle when it achieves its minimum speed (after t = 0)?

A) 3 m B) 4 m C) 8 m D) 2 m E) 7 m A) 3 m B) 4 m C) 8 m D) 2 m E) 7 m

The position of a particle moving along the x axis is given by x = (21 + 22t − 6.0t2)m,where t is in s.What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

A) −6.0 m/s B) −4.0 m/s C) −2.0 m/s D) −8.0 m/s E) 8.0 m/s A) −6.0 m/s B) −4.0 m/s C) −2.0 m/s D) −8.0 m/s E) 8.0 m/s

Exam 2: Motion in One Dimension

A particle is moving with a constant acceleration of 4.0 m/s².Its speed at t = 1.0 s is 4.0 m/s and at t = 3.0 s it is 12.0 m/s.What is the area under the position-time graph for the interval from t = 1.0 s to t = 3.0 s?

(Multiple Choice)

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Question 41

The equation that solves a problem is )The problem is:

(Multiple Choice)

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Question 42

At t = 0,a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction.The acceleration of the particle varies with time as shown in the diagram.What is the position of the particle at t = 5.0 s?

(Multiple Choice)

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Question 43

A swimmer swims 20 laps in a north-south facing pool in 7.00 minutes.Her first lap is toward the north.Her displacement and average velocity are

(Multiple Choice)

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Question 44

An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m.What is the (constant)acceleration of the vehicle during this time?

(Multiple Choice)

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Question 45

A problem may be solved more easily when alternative representations are used.The best strategy is to formulate representations in an order that assists in understanding the physical principles involved.Of the orders given below,the one that will work best most often is

(Multiple Choice)

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Question 46

Dallas says that any change in velocity is directly proportional to the time interval over which the change took place.Dana says that is true only when the acceleration is constant.Which one,if either,is correct?

(Multiple Choice)

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Question 47

An automobile traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 180 m.If the acceleration is constant,how much time elapses while the auto moves this distance?

(Multiple Choice)

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Question 48

At t = 0,a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction.The acceleration of the particle varies with time as shown in the diagram.What is the velocity of the particle at t = 5.0 s?

(Multiple Choice)

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Question 49

A particle moving along the x axis has a position given by x = (24t - 2.0t³)m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

(Multiple Choice)

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Question 50

An electron,starting from rest and moving with a constant acceleration,travels 2.0 cm in 5.0 ms.What is the magnitude of this acceleration?

(Multiple Choice)

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Question 51

To help Kim practice for the Special Olympics,Sally runs beside him for half the required distance.She runs the remaining distance at her regular speed and arrives 90 seconds ahead of Kim.What is the ratio of Sally's regular speed to Kim's speed? Use t_K_im for Kim's total time.

(Multiple Choice)

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Question 52

A speedy tortoise can run with a velocity of 10.0 cm/s and a hare can run 20.0 times as fast.In a race,they both start at the same time,but the hare stops to rest for 2.00 minutes.The tortoise wins by a shell (20.0 cm).What was the length of the race?

(Short Answer)

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Question 53

The position of a particle as it moves along the x axis is given for t > 0 by x = (t³ − 3t² + 6t)m,where t is in s.Where is the particle when it achieves its minimum speed (after t = 0)?

(Multiple Choice)

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Question 54

Driver A is cruising along enjoying the fall colors.Driver B starts her car at the instant he passes her.Their velocities are shown as functions of time in the graph below.At what instants in time on the graph are drivers A and B side by side?

(Multiple Choice)

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Question 55

The speed of an object is given by Where v is in m/s and t is in s.What is the acceleration of the object at t = 2.00 s?

(Multiple Choice)

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Question 56

The position of a particle moving along the x axis is given by x = (21 + 22t − 6.0t²)m,where t is in s.What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

(Multiple Choice)

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Question 57

A car originally traveling at 30 m/s manages to brake for 5.0 seconds while traveling 125 m downhill.At that point the brakes fail.After an additional 5.0 seconds it travels an additional 150 m down the hill.What was the acceleration of the car after the brakes failed?

(Short Answer)

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Question 58

In 20 minutes,Kara ran 2.40 km on a treadmill facing due east.Relative to the gym,what were her displacement and average velocity during this time interval?

(Multiple Choice)

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Question 59

A boat moves at 10.0 m/s relative to the water.If the boat is in a river where the current is 2.0 m/s,how long does it take the boat to make a complete round trip of 1.00 km upstream followed by a 1.00 km trip downstream?

(Short Answer)

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Question 60

Showing 41 - 60 of 66

Exam 2: Motion in One Dimension

A particle is moving with a constant acceleration of 4.0 m/s2.Its speed at t = 1.0 s is 4.0 m/s and at t = 3.0 s it is 12.0 m/s.What is the area under the position-time graph for the interval from t = 1.0 s to t = 3.0 s?

The equation that solves a problem is )The problem is:

At t = 0,a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction.The acceleration of the particle varies with time as shown in the diagram.What is the position of the particle at t = 5.0 s?

A swimmer swims 20 laps in a north-south facing pool in 7.00 minutes.Her first lap is toward the north.Her displacement and average velocity are

An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m.What is the (constant)acceleration of the vehicle during this time?

A problem may be solved more easily when alternative representations are used.The best strategy is to formulate representations in an order that assists in understanding the physical principles involved.Of the orders given below,the one that will work best most often is

Dallas says that any change in velocity is directly proportional to the time interval over which the change took place.Dana says that is true only when the acceleration is constant.Which one,if either,is correct?

An automobile traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 180 m.If the acceleration is constant,how much time elapses while the auto moves this distance?

At t = 0,a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction.The acceleration of the particle varies with time as shown in the diagram.What is the velocity of the particle at t = 5.0 s?

A particle moving along the x axis has a position given by x = (24t - 2.0t3)m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

An electron,starting from rest and moving with a constant acceleration,travels 2.0 cm in 5.0 ms.What is the magnitude of this acceleration?

To help Kim practice for the Special Olympics,Sally runs beside him for half the required distance.She runs the remaining distance at her regular speed and arrives 90 seconds ahead of Kim.What is the ratio of Sally's regular speed to Kim's speed? Use tKim for Kim's total time.

A speedy tortoise can run with a velocity of 10.0 cm/s and a hare can run 20.0 times as fast.In a race,they both start at the same time,but the hare stops to rest for 2.00 minutes.The tortoise wins by a shell (20.0 cm).What was the length of the race?

The position of a particle as it moves along the x axis is given for t > 0 by x = (t3 − 3t2 + 6t)m,where t is in s.Where is the particle when it achieves its minimum speed (after t = 0)?

Driver A is cruising along enjoying the fall colors.Driver B starts her car at the instant he passes her.Their velocities are shown as functions of time in the graph below.At what instants in time on the graph are drivers A and B side by side?

The speed of an object is given by Where v is in m/s and t is in s.What is the acceleration of the object at t = 2.00 s?

The position of a particle moving along the x axis is given by x = (21 + 22t − 6.0t2)m,where t is in s.What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

A car originally traveling at 30 m/s manages to brake for 5.0 seconds while traveling 125 m downhill.At that point the brakes fail.After an additional 5.0 seconds it travels an additional 150 m down the hill.What was the acceleration of the car after the brakes failed?

In 20 minutes,Kara ran 2.40 km on a treadmill facing due east.Relative to the gym,what were her displacement and average velocity during this time interval?

A boat moves at 10.0 m/s relative to the water.If the boat is in a river where the current is 2.0 m/s,how long does it take the boat to make a complete round trip of 1.00 km upstream followed by a 1.00 km trip downstream?

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A particle is moving with a constant acceleration of 4.0 m/s².Its speed at t = 1.0 s is 4.0 m/s and at t = 3.0 s it is 12.0 m/s.What is the area under the position-time graph for the interval from t = 1.0 s to t = 3.0 s?

A particle moving along the x axis has a position given by x = (24t - 2.0t³)m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

To help Kim practice for the Special Olympics,Sally runs beside him for half the required distance.She runs the remaining distance at her regular speed and arrives 90 seconds ahead of Kim.What is the ratio of Sally's regular speed to Kim's speed? Use t_K_im for Kim's total time.

The position of a particle as it moves along the x axis is given for t > 0 by x = (t³ − 3t² + 6t)m,where t is in s.Where is the particle when it achieves its minimum speed (after t = 0)?

The position of a particle moving along the x axis is given by x = (21 + 22t − 6.0t²)m,where t is in s.What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?