Question 1

A car moves along a straight road such that its position as a function of time is given by $$x(t) = 4t^2$ + 2t + 1 (in $$meters, with $$t in $$seconds). What is the car's instantaneous velocity at $$t = 3 s$$?

Accepted Answer

$$v = 26 m/s$$

Question 2

Which of the following statements about free fall is correct (neglecting air resistance)?

Accepted Answer

All objects, regardless of mass, fall with the same acceleration.

Question 3

A train travels 30 km in 15 minutes at a constant speed. How long will it take to travel 90 km at the same speed?

Accepted Answer

45 minutes

Question 4

The area under a velocity-versus-time graph represents which physical quantity?

Accepted Answer

Displacement

Question 5

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

Accepted Answer

$$20.4 m$$

Question 6

A car accelerates from rest at $$3 m/s$^2$$ for $$8$$ seconds. What is its final velocity?

Accepted Answer

$$24 m/s$$

Question 7

Which of the following is an example of uniform motion?

Accepted Answer

A hockey puck sliding in a straight line at a constant speed.

Question 8

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 9

A runner accelerates uniformly from $$2 m/s to$$ $$8 m/s in$$ $$3$$ seconds. What is the runner's acceleration?

Accepted Answer

$$2 m/s$^2$$

Question 10

A car moving to the right slows down. What are the signs of its velocity and acceleration?

Accepted Answer

Velocity is positive, acceleration is negative.

Question 11

A ball is dropped from a height of $$45 m. $$How long does it take to reach the ground? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$3.03 s$$

Question 12

Which of the following best describes the relationship between displacement and time for an object with constant acceleration?

Accepted Answer

Displacement is proportional to the square of the time interval.

Question 13

A cyclist riding at $$10 m/s $$comes to a stop in $$5$$ seconds. What is the magnitude of the cyclist's acceleration?

Accepted Answer

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

Question 14

A position-versus-time graph is a straight line with a negative slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving with constant velocity in the negative direction.

Question 15

A car starts from rest and accelerates uniformly at $$4 m/s$^2. $$How far does it travel in $$6$$ seconds?

Accepted Answer

$$72 m$$

Question 16

A ball is thrown vertically upward. At the highest point of its trajectory, what is its acceleration?

Accepted Answer

$$-9.8 m/s$^2$$

Question 17

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

Accepted Answer

$$940 m$$

Question 18

If the velocity of an object is zero at some instant, does it mean the acceleration is also zero at that instant?

Accepted Answer

No, acceleration can be nonzero even if velocity is zero.

Question 19

A drag racer starts from rest and travels $$6.0 m in$$ $$1.0 s $$with constant acceleration. How far will the racer have traveled after $$5.0 s$$?

Accepted Answer

$$150 m$$

Question 20

A springbok jumps straight up with an initial speed of $$7.0 m/s. $$What is the maximum height it reaches? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$2.5 m$$

Chapter 2: Motion in One Dimension – Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard