Question 1

A car moves along a straight road such that its position as a function of time is given by $$x(t) = 4t^2$ + 2t ($$where $$x is in $$meters and $$t in $$seconds). What is the car's instantaneous velocity at $$t = 3 s$$?

Accepted Answer

$$v = 26 m/s$$

Question 2

A cyclist is riding at a constant velocity of $$8 m/s. $$How far will the cyclist travel in $$15$$ seconds?

Accepted Answer

$$120 m$

Question 3

A ball is thrown straight up with an initial velocity of $$20 m/s. $$Ignoring air resistance, what is the maximum height the ball reaches? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$20.4 m$

Question 4

Which of the following statements about the area under a velocity-versus-time graph is correct?

Accepted Answer

It represents the object's displacement.

Question 5

A train travels $$60 km in$$ $$50$$ minutes at a constant speed. What is its average velocity in m/s?

Accepted Answer

$$12 m/s$$

Question 6

A car accelerates uniformly from rest to $$24 m/s in$$ $$8$$ seconds. What is its acceleration?

Accepted Answer

$$3$$ $$m/s^2$

Question 7

A rock is dropped from a cliff and hits the ground $$2.5$$ seconds later. What is the height of the cliff? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$30.6 m$$

Question 8

Which of the following best describes the motion of an object with a negative velocity and a positive acceleration?

Accepted Answer

The object is moving left and slowing down.

Question 9

A Boeing 747 accelerates at $$2.6 m/s$^2$$ from rest. What minimum runway length is required to reach a takeoff speed of $$70 m/s$$?

Accepted Answer

$$940 m$$

Question 10

A velocity-versus-time graph for a car is a straight line with a positive slope. What does this indicate about the car's motion?

Accepted Answer

The car is accelerating at a constant rate.

Question 11

A ball is thrown downward with an initial velocity of $$5 m/s $$from a height of $$20 m. $$How long does it take to hit the ground? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$2.0 s$$

Question 12

Which of the following is true for an object in free fall near the Earth's surface (neglecting air resistance)?

Accepted Answer

Its acceleration is always $$9.8 m/s$^2$$ downward.

Question 13

A car moves with a constant velocity of $$10 m/s $$for $$5$$ seconds, then accelerates uniformly to $$20 m/s in $$the next $$5$$ seconds. What is the total displacement after $$10$$ seconds?

Accepted Answer

$$125 m$$

Question 14

If $$y is $$proportional to $$x^2$$, and $$x is $$tripled, by what factor does $$y$$ change?

Accepted Answer

It increases by a factor of $$9$$

Question 15

A runner accelerates from rest at $$2 m/s$^2$$ for $$4$$ seconds. What is the runner's final velocity?

Accepted Answer

$$8 m/s$$

Question 16

A car slows down from $$20 m/s to $$rest in $$5$$ seconds. What is its acceleration?

Accepted Answer

$$-4$$ $$m/s^2$

Question 17

A student walks $$100 m $$east in $$2$$ minutes, then $$100 m $$west in $$2$$ minutes. What is the average velocity for the entire trip?

Accepted Answer

$$0 m/s$$

Question 18

A velocity-versus-time graph is a horizontal line at $$v = 5 m/s. $$What does the corresponding position-versus-time graph look like?

Accepted Answer

A straight line with positive slope

Question 19

A drag racer starts from rest and travels $$6 m in$$ $$1 s. If $$the acceleration remains constant, how far will the car travel in $$5 s$$?

Accepted Answer

$$150 m$$

Question 20

At the highest point of its trajectory, what is the acceleration of a ball thrown straight up (neglecting air resistance)?

Accepted Answer

$$9.8$$ $$m/s^2$ downward

Motion in One Dimension: Study Notes for Physics with Algebra

스터디 가이드 - 연습 문제

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