Kinematics Questions

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Questions 1 of 25

Question:Depict the shown v-x graph in a-x graph.

Answers Choices:

Questions 2 of 25

Question:In 1.0s, a particle goes from point A to point B, moving in a semicircle of radius 1.0 m. The magnitude of the average velocity is

Answers Choices:

3.14 m/s

2.0 m/s

1.0 m/s

zero

Questions 3 of 25

Question:A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in kilometre per hour is

Answers Choices:

1

3

4

\(\sqrt {41} \)

Questions 4 of 25

Question:Two birds are flying directly towards each other at the same speed If the first bird is flying at a velocity v , what is the the velocity of the second bird?

Answers Choices:

v

-v

2v

Impossible to determine

Questions 5 of 25

Question:A United Airlines jet is flying at 300 km/hr, while an Air France Concord is speeding along at 1200 km/hr Both airplanes are flying at the same altitude If each aircraft experiences problems with an unruly passenger, and they both decide simultaneously to push the passenger out the door, which of the unruly passengers will hit the earth first? (Ignore air resistance)

Answers Choices:

The Air France passenger

The United Airlines passenger

Neither They will both hit the ground at the same time

Impossible to determine The answer depends on which passenger is heavier

Questions 6 of 25

Question:Assuming the airplanes in the previous problem continue to travel at the same velocity after ejecting their respective passengers, where will the passengers land with respect to their aircraft's path?

Answers Choices:

When they hit the ground, they will be directly beneath the airplane they fell from

When they hit the ground, they will be directly beneath the spot at which the airplane threw them out

They will be in front of the aircraft they fell from

It depends on which plane the passenger fell from

Questions 7 of 25

Question:The velocity function is all of the following EXCEPT

Answers Choices:

A function of time

The derivative of the position function

A function which gives the velocity of an object at any point in time

None of the above

Questions 8 of 25

Question:A police officer living on a planet with no air resistance drops a pair of handcuffs and a handkerchief from the same height at the same time Which one will reach the ground first?

Answers Choices:

The handkerchief

The handcuffs

They will both hit the ground at the same time

The answer depends on how far above the ground they were when he dropped them

Questions 9 of 25

Question:What kind of function is an acceleration function describing one-dimensional motion?

Answers Choices:

A scalar-valued function

A vector-valued function

There is no such thing as acceleration in one dimension

A constant function

Questions 10 of 25

Question:In general, the acceleration of objects due to the earth's gravitational pull is

Answers Choices:

Constant

98 m/s\(^2\)

smaller if the object is further away

greater if the object is further away

Questions 11 of 25

Question:Kinematics is concerned with

Answers Choices:

understanding why objects move the way they do

describing the movement of objects

action at a distance

None of the above

Questions 12 of 25

Question:A raindrop on a drizzly day takes one minute from the time it leaves the cloud until it hits your umbrella, 3 miles below The average velocity of the raindrop on its journey is

Answers Choices:

3 miles/hr

60 miles/hr

180 miles/hr

Impossible to determine because the raindrop accelerates due to gravity

Questions 13 of 25

Question:The average velocity and the instantaneous velocity of an object will be the same if

Answers Choices:

the object's speed is constant

the object's acceleration is zero

the object's velocity is always positive

They are never the same

Questions 14 of 25

Question:Find the velocity of an object described by the position function \(x(g) = 3{x^2} + \frac{2}{{{x^2}}}\) at time t = - 1

Answers Choices:

-2

5

2

-5

Questions 15 of 25

Question:Find the acceleration of an object described by the position function \(x(t) = 3{x^2} + \frac{2}{{{x^2}}}\) at time t = - 1

Answers Choices:

-8

5

18

None of the above

Questions 16 of 25

Question:For the following 5 questions, consider an object with position function \(x(t) = \frac{1}{2}(0,0, - g){t^2} + (2,3,4)t + (5,0,1)\). What is the magnitude of the initial (ie at t = 0 ) velocity vector?

Answers Choices:

5

\(\sqrt {29} \)

\(\sqrt 6 \)

\( - g/2\)

Questions 17 of 25

Question:What is the position of the object at time t = - 2 ?

Answers Choices:

(1, - 6, - 2g - 7)

-12

(1, - 6, - 7)

(0, 0, 0)

Questions 18 of 25

Question:The object is moving

Answers Choices:

in one dimension

in two dimensions

in three dimensions

None of the above

Questions 19 of 25

Question:What is the acceleration of this object at time t = 25 ?

Answers Choices:

-g

\(25(0,0, - \frac{1}{2}g)\)

\(\frac{{25}}{2}g\)

\( - (0,0,g)\)

Questions 20 of 25

Question:This equation might describe an object

Answers Choices:

in free fall

moving as a projectile

bouncing straight up and down

with changing acceleration

Questions 21 of 25

Question:In creature-land, the measure of one's hardcoreness is directly correlated to how high one can jump Unfortunately, creatures cannot jump straight up, but must take a running start If creature A jumps with initial velocity vector (2, 2, 5) , and creature B jumps with initial velocity vector (5, 4, 2) (where the z -direction points upwards), which creature is more hardcore?

Answers Choices:

creature A

creature B

Both creatures are equally hardcore

Impossible to determine without knowing the gravitational acceleration in creature-land

Questions 22 of 25

Question:According to the previous question, which creature travels furthest during its jump?

Answers Choices:

creature A

creature B

Both creatures land an equal distance away from their starting point

Impossible to determine without knowing the gravitational acceleration in creature-land

Questions 23 of 25

Question:Which function could describe the velocity of a ball being thrown horizontally off a fire escape?

Answers Choices:

\(v(t) = - \frac{1}{2}(0,0,g){t^2} + (0,v,0)t + (0,0,h)\)

\(v(t) = (0,0,g)t + (v,0,0)t\)

\(v(t) = gt + vt\)

\(v(t) = - \frac{1}{2}(0,0,g)t + (0,0,v)t\)

Questions 24 of 25

Question:Phin and Wittgenstein are hanging out on the moon when they decide to have a contest to see who can shoot a bullet farther Both use identical guns Phin decides to shoot at a 60 degree angle, while Wittgenstein holds his gun at 45 degrees when shooting Whose bullet lands the furthest away?

Answers Choices:

Phin's

Wittgenstein's

Both bullets land the same distance away

Impossible to determine without knowing the acceleration due to gravity on the moon

Questions 25 of 25

Question:The office of the Harvard Review of Philosophy is located approximately 10 ft below the earth's surface The acceleration due to gravity experienced by members working in this office is

Answers Choices:

significantly greater than that of people on the earth's surface

significantly smaller than that of people on the earth's surface

approximately equal to that of people on the earth's surface

exactly equal to that of people on the earth's surface