Q: A ball rolls up a ramp and then back down. At the highest point, what is its velocity and acceleration?

Velocity is zero, acceleration is $$g \sin \theta$$ downward.

Question 1

Which of the following best describes the difference between distance and displacement in 1D motion?

Accepted Answer

Distance is the total length traveled regardless of direction, while displacement is the change in position from the initial to the final point, considering direction.

Question 2

An ant crawls from $$x=4\ \mathrm{cm} to$$ $$x=10\ \mathrm{cm}$$, then reverses direction and returns to $$x=40\ \mathrm{cm}. $$What is its total displacement?

Accepted Answer

$$36\ \mathrm{cm}$$

Question 3

A train moves in a straight line with constant acceleration $$a_x. $$Which kinematic equation gives its position $$x at $$time $$t if $$its initial position is $$x_0$$ and initial velocity is $$v_0$$?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a_x t^2$

Question 4

Which statement about average speed and average velocity is correct for an object that returns to its starting point?

Accepted Answer

Average speed is nonzero, average velocity is zero.

Question 5

The instantaneous velocity of an object is mathematically defined as:

Accepted Answer

$$v = \frac{dx}{dt}$$

Question 6

On a position vs. time graph, what does the slope of the line represent?

Accepted Answer

Velocity

Question 7

A ball is dropped from a height of $$20\ \mathrm{m}$$ and falls freely under gravity ($$g = 9.8\ \mathrm{m/s^2$}). $$What is its velocity just before hitting the ground?

Accepted Answer

$$-20\ \mathrm{m/s}$$

Question 8

Which of the following is true about the acceleration of an object in free fall near Earth's surface?

Accepted Answer

It is always $$9.8\ \mathrm{m/s^2$}$$ downward, regardless of mass.

Question 9

If the velocity vs. time graph of an object is a straight line with a positive slope, what can you say about its acceleration?

Accepted Answer

Acceleration is constant and positive.

Question 10

The area under a velocity vs. time graph between two times $$t_1$$ and $$t_2$$ represents:

Accepted Answer

The object's displacement.

Question 11

A car moves at $$2\ \mathrm{m/s}$$ for $$2\ \mathrm{s}$$, stops for $$2\ \mathrm{s}$$, then moves at $$5\ \mathrm{m/s}$$ for $$2\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$10\ \mathrm{m}$$

Question 12

Which kinematic equation is most appropriate to find the final velocity $$v_f of an $$object given its initial velocity $$v_i$$, acceleration $$a$$, and displacement $$\Delta x$$?

Accepted Answer

$$v_f^2$ = v_i^2$ + 2 a \Delta x$$

Question 13

On an inclined plane, the acceleration of a sliding object is given by:

Accepted Answer

$$a = g \sin 	heta$$

Question 14

If an object reverses its direction of motion, what happens to its velocity?

Accepted Answer

Velocity becomes zero and then changes sign.

Question 15

A ball rolls up a ramp and then back down. At the highest point, what is its velocity and acceleration?

Accepted Answer

Velocity is zero, acceleration is $$g \sin 	heta$$ downward.

Question 16

Which of the following is NOT a classical simple machine?

Accepted Answer

Spring

Question 17

For an object moving with constant acceleration, which graph best represents its position vs. time?

Accepted Answer

A parabola

Question 18

If the velocity of an object is zero at a certain instant, what can you say about its position at that instant?

Accepted Answer

It is at a turning point (maximum or minimum position).

Question 19

Which equation relates displacement $$\Delta x to $$initial velocity $$v_i$$, time $$t$$, and constant acceleration $$a$$?

Accepted Answer

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

Kinematics in 1D – PHYSICS 1051 Study Notes

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