Q: A ball is dropped from rest from a height of $$20\ \mathrm{m}. $$Neglecting air resistance, what is its velocity just before hitting the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

$$v = \sqrt{2gh} = \sqrt{2 \times 9.8 \times 20} = 19.8\ \mathrm{m/s}$$

Q: If $$\vec{A} = 2\hat{i} + 3\hat{j}$$, what is the angle $$\theta$$ that $$\vec{A}$$ makes with the x-axis?

$$\theta = \tan$$^{-1}$$\left(\frac{3}{2}\right)$$

Question 1

Which of the following best describes the relationship between velocity and the position vs. time graph for an object moving in one dimension?

Accepted Answer

Velocity is the slope of the position vs. time graph.

Question 2

A car moves with a constant velocity of $$10\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is the displacement of the car during this time?

Accepted Answer

$$50\ \mathrm{m}$$

Question 3

Given a velocity vs. time graph, what does the area under the curve represent?

Accepted Answer

The object's displacement

Question 4

Which kinematic equation would you use to solve for displacement $$\Delta x$$ when given initial velocity $$v_0$$, final velocity $$v$$, and acceleration $$a$$, but not time?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a$$\Delta x$$

Question 5

A ball is dropped from rest from a height of $$20\ \mathrm{m}. $$Neglecting air resistance, what is its velocity just before hitting the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$v = \sqrt{2gh} = \sqrt{2 	imes 9.8 	imes 20} = 19.8\ \mathrm{m/s}$$

Question 6

A vector $$\vec{A}$$ has components $$A_x = 3$$ and $$A_y = 4. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$5$$

Question 7

If a car accelerates uniformly from $$0 to$$ $$20\ \mathrm{m/s} in$$ $$4\ \mathrm{s}$$, what is its acceleration?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 8

A car moves up a $$10^\circ$$ incline and comes to rest after traveling $$30\ \mathrm{m}. If $$the initial velocity is $$20\ \mathrm{m/s}$$, what is the acceleration along the ramp?

Accepted Answer

$$a = -g \sin(10^\circ)$$

Question 9

Which of the following statements about vectors is correct?

Accepted Answer

A vector can be decomposed into perpendicular components.

Question 10

If $$\vec{A} = 2\hat{i} + 3\hat{j}$$, what is the angle $$	heta$$ that $$\vec{A}$$ makes with the x-axis?

Accepted Answer

$$	heta = 	an$$^{-1}$$\left(\frac{3}{2}ight)$$

Question 11

Which of the following is the correct kinematic equation for displacement with constant acceleration?

Accepted Answer

$$\Delta x = v_0$ t + \frac{1}{2} a t^2$

Question 12

A runner accelerates from rest at $$2\ \mathrm{m/s^2$}$$ for $$6\ \mathrm{s}. $$What is the final velocity?

Accepted Answer

$$v = 12\ \mathrm{m/s}$$

Question 13

Which of the following is true about the motion of an object under constant acceleration?

Accepted Answer

The velocity changes linearly with time.

Question 14

If the acceleration along the y-axis is zero, what happens to the motion along the x-axis?

Accepted Answer

It is unaffected by the y-axis acceleration.

Question 15

A projectile is launched horizontally from a cliff. Which equation would you use to find the time it takes to hit the ground?

Accepted Answer

$$y = y_0$ + v_{0y} t + \frac{1}{2} a_y t^2$

Question 16

Which of the following best describes the magnitude of acceleration on a velocity vs. time graph?

Accepted Answer

It is the slope of the velocity vs. time graph.

Kinematics in One Dimension and Vectors: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards