In an arcade video game, a spot is programmed to move across the screen according to x = 9.00t - 0.750t3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds.When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x(t). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?

In an arcade video game, a spot is programmed to move across the screen according to x = 9.00t - 0.750t3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds.When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x(t). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?

Name: In an arcade video game, a spot is programmed to move across the scree
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: In an arcade video game, a spot is programmed to move across the screen according to x = 9.00t - 0.750t3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds.When the spot reaches a screen edge, at ei

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

See similar textbooks

Related questions

Q: A new and powerful robotic aircraft is observed moving along a straight line parallel to the x axis.…

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume…

Q: The equation of a motion of a train is given by m dv dt = mk(1 − e −t ) − mcv, where v is the speed,…

A: Solution: given thatequation of motion of trainmdvdt=mk(1-e-t)-mcvm, k and c are constants, t is the…

Q: The formula for the location of a particle is x = 6 8 t + 2 t 2 ( m), where t represents any instant…

Q: In reaching her destination, a backpacker walks with an average velocity of 1.31 m/s, due west. This…

Q: Question 5 (- --) The speed of a particle at time t is given by the equation: s(t) = 4+ 2.01ť?…

A: s(t) = 4 + 2.01t2 To find = a) rate of speed change at t = 1 b) Units for rate at…

Q: A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward, followed…

A: (given) Last five steps covering 5 m. The drunkard fell into the pit, then displacement is =…

Q: An object's position as a function of time in one dimension is given by the expression; x(t) = 4.7t?…

A: Given data The object's position as a function of time is xt=4.7t2+6.29t+12.8. The instantaneous…

Q: A turtle crawls along a straight line, which we will call the xx-axis with the positive direction to…

A: Given data *The equation for the turtle's position as a function of time is x(t) = 50.0 cm + (2.00…

Q: For a short time, the speed v of a car, in m / s, is given by v at“ + bt°, where t is the time in…

A: e is the right option

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

Q: A person going for a walk follows the path shown in the figure, where y, = 312 m and 0 = 66.0°. The…

Q: Hearing rattles from a snake, you make two rapid displacements of magnitude 1.8m and 2.4m. In…

A: (a) Consider the figure below, both the displacements are in same direction hence resultant will be…

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

A: Given Data: The particle's velocity along the x-axis is: vt=At+Bt2 The value of A is: A=1.06 m/s2…

Q: If the velocity of a particle is measured to be 0.5 in natural units(c-1), what is the velocity in…

A: Given: The velocity of the particle, v=0.5 natural unit. Require: Velocity in SI unit.

Q: The velocity function, in feet per second, is given for a particle moving along a straight line,…

A: (a) The particle’s displacement is simply the shortest distance between its motion’s starting point…

Q: From January 26, 1977, to September 18, 1983, George Meegan of Great Britain walked from Ushuaia, at…

A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

Q: The coordinate of an object is given as a function of time by x(t) = 6t2 - t3, where x is in meters…

Q: height h Time Time Mean time t Mean t1 (s) t2 (s) t? (s?) h/t2 (m/s?)| h/t2 (m/s?) g (m/s²) (cm) (s)…

Q: An experiment was done where a motion sensor measured the position of a man while walking away from…

A: Given : Time (s) position (x) 1.0 0.234 1.2 0.287 1.4 0.326 1.6 0.388 1.8 0.430…

Q: The position of a cat running from a dog down a dark alley is given by the values of the table. e…

A: a) average velocity Vavg=displacement timeVavg=31ft2s= 15.5 ft/sec

Q: An object's position as a function of time is given by the expression; x(t) = 13.9/(t+1) + 2.2t3 -…

A: Average velocity=total displacementtotal time ......(1)

Q: The position of an object moving along an x axis is given by x = 3.09 t - 4.24 t2 + 1.01 t3, where x…

Q: An objects position in the x-direction as a function of time is given by the expression: x(t)=5t^2 +…

A: The position of the object, x(t) = 5t2 + 2t The initial time, t1 = 1.15 s The final time, t2 = 2.07…

Q: A girls softball pitcher can pitch the balll at a rate of 41 miles per hour. How long will it take…

Q: A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters,…

Q: y В (15.0 m) D (10.0 m) 30.0° 53.0 25.00 Č(12.0 m) A (8.00 m)

Q: The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm,…

Q: Convert 2 km/h to m/s. How many ft/s is this? Evaluate each of the following and express with SI…

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: Given: x=(18.0 m/s)ty=(4.0 m/s)t-(4.90 m/s2)t2

Q: An equation describing displacement (in meters) as a function of time (in seconds) of a rocket…

Q: Due to continental drift, the North American and European continents are drifting apart at an…

A: The drift is 3 cm in 1 year. For 1 cm(=10-2m ) ,the time taken is t0=13 year For 1 m drift ,the…

Q: he following equations give the position x(t) of a particle in four situations (in each equation, x…

A: Given, the equation of positions of the particle, x = 3t - 4x = -5t3 + 4t2 + 6x = 2t2 - 4tx = 5t2- 3

Q: If an arrow is shot upward on Mars with a speed of 66 m/s, its height in meters t seconds later is…

A: The most common formula for average speed is distance traveled divided by time taken Average speed…

Q: A particle is moving in three dimensions and its position vector is given by; 7(t) = (1.9t² + 2.1t)…

Q: An object is dropped from rest and takes 2.42 seconds to reach the ground below. From what distance…

Q: During 55 successive 1.001.00 min intervals, a runner moves at the following constant speeds:…

Q: 1.25 * A postal employee drives a delivery truck along the route shown in Fig. E1.25. Determine the…

Q: The position of an object moving along a line at any time t 2 0 is given by the function s(t) = t³ –…

A: The position of an object is given by,s(t)=t3-9t2+18........ t≥0......(1)where, s(t) is in feets…

Q: A person going for a walk follows the path shown in the figure, where y, = 254 m and 0 = 56.0°. The…

Q: The motion of a particle is defined by the equations x = (2t + t^2) m and y = (t^2) m, where t is in…

Q: height h (cm) Time t; (s) Time t2 (s) Mean time t (s) t? (s²) h/t? (m/s²) g (m/s?) 45 0.3021 0.3029…

A: Given, mean time will be = ( t1 + t2)/2 We know , h =1/2(g*t^2) 'g' will be = 2 *(h/t^2) Average…

Q: The expression x = 9.40 cos(2.25(PI)t + (PI)/2) describes the position of an object as a function of…

Q: An object moves along the x axis according to the equation x = 3.85t? 2.00t + 3.00, where x is in…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

In an arcade video game, a spot is programmed to move
across the screen according to x = 9.00t - 0.750t3, where x is distance
in centimeters measured from the left edge of the screen and
t is time in seconds.When the spot reaches a screen edge, at either
x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again
according to x(t). (a) At what time after starting is the spot instantaneously
at rest? (b) At what value of x does this occur? (c) What
is the spot’s acceleration (including sign) when this occurs? (d)
Is it moving right or left just prior to coming to rest? (e) Just after?
(f) At what time t > 0 does it first reach an edge of the screen?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An object's position in the as a function of time obeys the equation; x(t) = 14.2/t2.17 + 5.1t3 where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.93 seconds?
An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s?
An objects position in the x-direction as a function of time is given by the expression: x(t)=5t^2 + 2t where are quantities have proper SI units. What's the objects average velocity in the x-direction between the times t=1.15s and t=2.07s. (Just enter the number rounded to 3 significant figures and assume it has proper SI units)
An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? Quantities and answer in 3 sig figs
A student solving a physics problem for the velocity of an object has applied appropriate physics principles and obtained the expression v=d/t−v0, where d=35.0meter, t=9.00second, and v0 =3.00meter/second. What is the velocity v?
A jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the jeep brakes, coming to rest in t2=7.38s. 1. What was the jeep's instantaneous velocity in the horizontal direction, in meters per second, when it began braking? 2. Using the result from question 1, what was the jeep's horizontal component of acceleration, in meters per squared second, during the braking period?
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t + 7.88 where are constants have proper SI Units. What is the object's velocity at t = 4.19 s?
A ball kicked from ground level at an initial velocity of 68 m/s and an angle θ with ground reaches a horizontal distance of 295 meters. What is the size of angle θ and what is time of flight of the ball?a. θ = 17.223⁰, t = 8.44 sb. θ = 19.372⁰, t = 4.6 sc. θ = 18.263⁰, t = 9.3 sd. θ = 16.273⁰, t = 7.3 s
The expression x = 9.40 cos(2.25(PI)t + (PI)/2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the following? (e) position of the particle at t = 1.50 s ________cm
An object is dropped from rest and takes 2.25 seconds to reach the ground below. From what distance above the ground was it dropped? State this as a positive number and assume it has proper SI Units.
The world record for the hundred meter dash is 9.58 s.What is the corresponding average speed in units of m/s,km/h,ft/s,and mi/h? At this speed, how long would it take to run 1.00 x 102 yards?
At highway speeds, a particular automobile is capable of an acceleration of about 2.0 m/s^2 At this rate, how long does it take to accelerate from 70 km/hkm/h to 130 km/hkm/h ?