You are watching a jet ski race. A racer speeds up from rest to 70 mph in 10 s, then continues at a constant speed. Draw a basic motion diagram of the jet ski, using s from the video, from its start until 10 s after reaching top speed.

You drop a soccer ball from your third-story balcony. Use the particle model to draw a motion diagram showing the ball's position and average velocity vectors from the time you release the ball until the instant it touches the ground.

FIGURE EX1.8 shows the first three points of a motion diagram. Is the object's average speed between points 1 and 2 greater than, less than, or equal to its average speed between points 0 and 1? Explain how you can tell.

FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.2 to find the average acceleration vectors at points 1, 2, and 3. Draw the completed motion diagram showing velocity vectors and acceleration vectors.

FIGURE EX1.10 shows two dots of a motion diagram and vector. Copy this figure, then add dot 4 and the next velocity vector if the acceleration vector at dot 3 points left.

A speed skater accelerates from rest and then keeps skating at a constant speed. Draw a complete motion diagram of the skater.

A bowling ball rolls up an incline and then onto a smooth, level surface. Draw a complete motion diagram of the bowling ball. Don't try to find the acceleration vector at the point where the motion changes direction; that's an issue for Chapter 4.

Your roommate drops a tennis ball from a third-story balcony. It hits the sidewalk and bounces as high as the second story. Draw a complete motion diagram of the tennis ball from the time it is released until it reaches the maximum height on its bounce. Be sure to determine and show the acceleration at the lowest point.

Draw a pictorial representation for the following problem. Do not solve the problem. What acceleration does a rocket need to reach a speed of 200 m/s at a height of 1.0 km?

How many significant figures are there in each of the following values?

75.0

How many significant figures are there in each of the following values?

0.07 x 10⁸

Convert the following to basic SI units or a combination of basic SI units:

62 ft/day

Convert the following to basic SI units or a combination of basic SI units:

2.2 x 10⁴ mi²

Using the approximate conversion factors in Table 1.5, convert the following SI units to English units without using your calculator.

25 m/s

Perform the following calculations with the correct number of significant figures.

159.31 x 204.6

Perform the following calculations with the correct number of significant figures.

5.1125 + 0.67 + 3.2

Perform the following calculations with the correct number of significant figures.

7.662 - 7.425

Perform the following calculations with the correct number of significant figures.

16.5/3.45

Compute the following numbers, applying the significant figure rules adopted in this textbook.

$\sqrt{33.3}$

Estimate the average speed with which the hair on your head grows. Give your answer in both m/s and μm/hour. Briefly describe how you arrived at this estimate.

A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.0 km, the jet is moving with a speed of 400 m/s. What is the jet's acceleration as it speeds up?

For Problems 34, 35, 36, 37, 38, 39, 40, 41, 42, and 43, draw a complete pictorial representation. Do not solve these problems or do any mathematics. A car starts from rest at a stop sign. It accelerates at 4.0 m/s² for 6.0 s, coasts for 2.0 s, and then slows at a rate of 2.5 m/s² for the next stop sign. How far apart are the stop signs?

A car traveling at 30 m/s runs out of gas while traveling up a 10° slope. How far up the hill will the car coast before starting to roll back down?

David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.0 m/s² at the instant when David passes. How far does Tina drive before passing David?

Problems 44, 45, 46, 47, and 48 show a motion diagram. For each of these problems, write a one or two sentence 'story' about a real object that has this motion diagram. Your stories should talk about people or objects by name and say what they are doing.

Problems 49, 50, 51, and 52 show a partial motion diagram. For each: Complete the motion diagram by adding acceleration vectors.

Problems 49, 50, 51, and 52 show a partial motion diagram. For each: Draw a pictorial representation for your problem.

Problems 49, 50, 51, and 52 show a partial motion diagram. For each: Complete the motion diagram by adding acceleration vectors.

Problems 49, 50, 51, and 52 show a partial motion diagram. For each: Draw a pictorial representation for your problem.