Questions and Answers of Calculus Early Transcendentals 9th

A toy train is pushed forward and released at x0 = 2.0 m with a speed of 2.0 m/s. It rolls at a steady speed for 2.0 s, then one wheel begins to stick. The train comes to a stop 6.0 m from the point
A car accelerates at 2.0 m/s2 along a straight road. It passes two marks that are 30 m apart at times t = 4.0 s and t = 5.0 s. What was the car’s velocity at t = 0 s?
When jumping, a flea accelerates at an astounding 1000 m/s2, but over only the very short distance of 0.50 mm. If a flea jumps straight up, and if air resistance is neglected (a rather poor
The minimum stopping distance for a car traveling at a speed of 30 m/s is 60 m, including the distance traveled during the driver’s reaction time of 0.50 s.a. What is the minimum stopping distance
a. Suppose you are driving at speed v0 when a sudden obstacle in the road forces you to make a quick stop. If your reaction time before applying the brakes is tR, what constant deceleration (absolute
An object starts from rest at x = 0 m at time t = 0 s. Five seconds later, at t = 5.0 s, the object is observed to be at x = 40 m and to have velocity vx = 11 m/s.a. Was the object’s acceleration
A particle’s position on the x-axis is given by the functionx = (t2 - 4t + 2) m, where t is in s.a. Make a position-versus-time graph for the interval 0 s ≤ t ≤ 5 s. Do this by calculating and
A particle moving along the x-axis has its position described by the function x = (2t2 - t + 1) m, where t is in s. At t = 2s what are the particle’s(a) Position(b) Velocity(c) Acceleration?
A ball is thrown vertically upward with a speed of 19.6 m/s.a. What is the ball’s velocity and its height after 1.0, 2.0, 3.0, and 4.0 s?b. Draw the ball’s velocity-versus-time graph. Give both
Ball bearings are made by letting spherical drops of molten metal fall inside a tall tower—called a shot tower—and solidify as they fall.a. If a bearing needs 4.0 s to solidify enough for impact,
A rubber ball dropped from a height of 2 m bounces back to a height of 1 m. Draw the ball’s position, velocity, and acceleration graphs, stacked vertically, from the instant you release it until it
Shows the velocity graph of a particle moving along the x-axis. Its initial position is x0 = 2.0 m at t0 = 0 s. At t = 2.0 s, what are the particle’s(a) Position(b) Velocity(c) Acceleration? v,
Shows the velocity graph for a particle having initial position x0 = 0 m at t0 = 0 s.a. At what time or times is the particle found at x = 35 m? Work with the geometry of the graph, not with
shows the position-versus-time graph for a moving object. At which lettered point or points:a. Is the object moving the fastest?b. Is the object moving to the left?c. Is the object speeding up?d. Is
Shows the position-versus-time graph for a moving object. At which lettered point or points:a. Is the object moving the slowest?b. Is the object moving the fastest?c. Is the object at rest?d. Is the
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
Interpret the position graph given in each figure by writing a very short “story” of what is happening. Be creative! Have characters and situations! Simply saying that “a car moves 100 meters
The quantity called mass density is the mass per unit volume of a substance. Express the following mass densities in SI units.a. Aluminum, 2.7 × 10-3 kg/cm3b. Alcohol, 0.81 g/cm3
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
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
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
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
Compute the following numbers, applying the significant figure rule adopted in this textbook.a. 12.53b. 12.5 × 5.21c. √12.5 - 1.2d. 12.5-1
Using the approximate conversion factors in Table 1.5, convert the following to SI units without using your calculator.a. 20 ftb. 60 mic. 60 mph d. 8 in
Convert the following to SI unitsa. 3 hoursb. 2 daysc. 1 yeard. 215 ft/s
Convert the following to SI units:a. 6.15 msb. 27.2 kmc. 112 km/hd. 72 μm/ms
A toy car rolls down a ramp, then across a smooth, horizontal floor. Draw a complete motion diagram of the toy car.
A child is sledding on a smooth, level patch of snow. She encounters a rocky patch and slows to a stop. Draw a complete motion diagram of the child and her sled.
A softball player hits the ball and starts running toward first base. Use the particle model to draw a motion diagram showing her position and her average velocity vectors during the first few
You’re driving along the highway at 60 mph until you enter a town where the speed limit is 30 mph. You slow quickly, but not instantly, to 30 mph. Draw a basic motion diagram of your car, using
How many significant figures does each of the following numbers have?a. 310b. 0.00310 c. 1.031 d. 3.10 × 105
How many significant figures does each of the following numbers have?a. 53.2 b. 0.53 c. 5.320 d. 0.0532

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