Q: A projectile is launched at an angle $$\theta$$ with initial speed $$v_0. $$What is the formula for its maximum height?

$$\frac{v_0$^2 \sin^2$ \theta}{2g}$$

Q: Which equation gives the range $$R of a $$projectile launched at speed $$v_0$$ and angle $$\theta$$ above the horizontal?

$$R = \frac{v_0$^2 \sin 2\theta}{g}$$

Question 1

A student measures the length of a table three times and records the values: 2.01 m, 2.03 m, and 2.00 m. What is the best estimate of the table's length and its uncertainty?

Accepted Answer

$$2.01 \pm 0.02 m$$

Question 2

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 3

A car travels east for 100 m, then north for 100 m. What is the magnitude of its displacement?

Accepted Answer

$$141 m$$

Question 4

Which equation best describes the position $$x(t) of an $$object moving with constant acceleration $$a$$ from initial position $$x_0$$ and initial velocity $$v_0$$?

Accepted Answer

$$x(t) = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 5

A ball is dropped from rest from a height of $$20 m. $$Ignoring air resistance, how long does it take to hit the ground? (Take $$g = 9.8 m/s$^2)$$

Accepted Answer

$$2.02 s$$

Question 6

Which of the following statements about free-body diagrams is correct?

Accepted Answer

They show all the forces acting on an object, but not the forces the object exerts on others.

Question 7

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$What is the formula for its maximum height?

Accepted Answer

$$\frac{v_0$^2 \sin^2$ 	heta}{2g}$$

Question 8

A cyclist moves in a circle of radius $$10 m at a $$constant speed of $$5 m/s. $$What is the magnitude of the centripetal acceleration?

Accepted Answer

$$2.5 m/s$^2$$

Question 9

Which of the following is NOT a correct statement about kinematics in one dimension?

Accepted Answer

Displacement is always positive.

Question 10

A student throws a ball horizontally from a $$45 m $$high building. How long does it take to reach the ground? (Ignore air resistance, $$g = 9.8 m/s$^2)$$

Accepted Answer

$$3.03 s$$

Question 11

Which of the following best describes the difference between precision and accuracy in scientific measurements?

Accepted Answer

Precision refers to how close measurements are to each other; accuracy refers to how close measurements are to the true value.

Question 12

A car accelerates from rest at $$2 m/s$^2$$ for $$5$$ seconds. What is its final velocity?

Accepted Answer

$$10 m/s$$

Question 13

A ball is thrown straight up with initial velocity $$v_0. $$What is its velocity at the highest point?

Accepted Answer

$$0$$

Question 14

Which equation gives the range $$R of a $$projectile launched at speed $$v_0$$ and angle $$	heta$$ above the horizontal?

Accepted Answer

$$R = \frac{v_0$^2 \sin 2	heta}{g}$$

Question 15

A block slides down a frictionless incline making an angle $$30^\circ$$ with the horizontal. What is the acceleration of the block?

Accepted Answer

$$4.9 m/s$^2$$

Question 16

A student draws a free-body diagram for a book resting on a table. Which forces should be included?

Accepted Answer

Gravity and normal force

Question 17

A car moves in a circle of radius $$r at $$constant speed $$v. $$Which force is responsible for keeping the car in circular motion?

Accepted Answer

Centripetal force

Question 18

A ball is thrown horizontally from a cliff with speed $$v_0. $$Which equation gives the time to hit the ground if the height is $$h$$?

Accepted Answer

$$t = \sqrt{\frac{2h}{g}}$$

Question 19

A runner accelerates at $$1 m/s$^2$$ for $$4$$ seconds, then continues at constant speed for $$6$$ seconds. What is the total distance covered?

Accepted Answer

$$28 m$$

Physics I: Course Syllabus and Key Concepts Overview (Weeks 1-4)

Guida di studio - Domande di pratica

Study guide - Flashcard