Answered: A car moves along the x-axis with the…

A car moves along the x-axis with the equation x = t² + 2t + 3. The average speed of the car over the time interval between t = 1 sec and t = 4 seconds is.... 2 m/s 3 m/s 6m/s 7m/s 9 m/s

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 car moving with a velocity 10 m/s reaches at 30 m/s in 10 s. What is the acceleration of the car?…

Q: A car is moving with an acceleration of 3.2m/s² in a straight road. At this rate, how long does it…

A: How long does it take to accelerate from 82 kmph to 135 kmph.given,Initial speed(u)=82…

Q: 52) Given the position function s(t) = t^4 - 3t^3 + 2t^2 - 5, where s is measured in meters and t…

A: Acceleration is defined as the rate of change of velocity and velocity is defined as the rate of…

Q: 3. The graph shows the velocity vs. time motion for a bicycle. How far does the bicycle travel in…

Q: The acceleration of a particle is given by the equation: A=3×t if V=2 m/s at t=1 sec and S=12 m at…

Q: Consider a sports car moving on a straight track according to the equation x = 2t2 +t+ 1, where x is…

A: The position of a sprots car with respect to time is given by : x(t) = 2t2 + t + 1

Q: The speed of an object as a function of position is given by the following equation v2 = (10) x What…

Q: A speed boat starts from rest and accelerates at a rate of 3.1m/s?. The time required to reach a…

A: Given: The initial velocity of the boat = 0 Acceleration of the boat = 3.1 m/s2 Final speed of the…

Q: v(m/s) 10 t(s) 1 2 4

A: The area under the velocity-time graph gives us the value of distance (S) travelled by the object…

Q: A car starts moving at time t = 0 and goes faster and faster. Its velocity is shown in the following…

A: When the object starts from rest and the velocity keeps on increasing as the time passes by, the…

Q: A giant boulder is traveling down a hill at a rate of 20 m/s. You are located 1 km away from the…

A: Given : Speed (v) = 20 m/s Distance (d) = 1 km = 1000 m

Q: A car accelerates with the acceleration a(s) = k · s^n m/s^2, where s is distance in meters, k =…

A: Given Acceleration a = ksn k = 1.190 n = 0.731 final speed v = 1.75 m/s

Q: The motion of a car is shown in the graph. 1. Calculate the acceleration of the car at 5.0 s. 2.…

A: Given data: Velocity vs time graph

Q: what is the magnitude of the acceleration for an object starts with velocity ( 2i + 3j) m/s and…

A: Initial velocity of the object u→=2i^+3j^ (m/s) and final velocity of the object v→=13i^+7j^ (m/s),…

Q: A particle moving with a constant acceleration has a velocity of 20.9 cm/s when its position is x =…

Q: In 2.5 s, a car increases its speed from 20.0m/s to 25.0m/s. What is the acceleration of the car? 5…

A: Given Initial velocity is v0= 20.0 m/s Final velocity is v= 25.0 m/s Time taken is t= 2.5 s

Q: A body moving in a straight line is has an acceleration defined by t2 + 2t m/s2. Starting from rest…

Q: The car speed in the figure is v = 0.3 (9t2 + 2t) m / s it moves on for a short time. The unit of t…

Q: The following graph represents the acceleration vs. time curve of an object moving along the x-axis.…

Q: The position of an object as a function of time is x(t) = −7t2 m. What is the velocity at t = 1.18…

Q: What are the two roots of the equation (4.9 m/s2)t2 –(30 m/s)t + (3 m) = 0? (t has the unit of…

Q: 2. Ima Speedin puts the pedal to the metal and increases her speed as follows: 0 mi/hr at 0 seconds;…

A: (2) The given values are, v1=0v2=10 mi/hv3=20 mi/hv4=30 mi/hv5=40 mi/h∆t=1 s

Q: The distance, s(t), in feet, traveled by a ball rolling down a ramp is given by the function s(t) =…

A: Given,

Q: Vb 0- 1 2 3 6 8 TIme, s The Graph above shows the speed of a car traveling in a straight line as a…

A: Given: v α t at t=0 u=0 at t=8…

Q: A snowmobile with an initial speed of 5.6 m/s travels 24.0 m in 2.0 s. What final speed does it…

A: Given data: Initial velocity (V0) = 5.6 m/s Distance traveled (x) = 24.0 m Time (t) = 2.0 s…

Q: A car is going 18 m/s for 23 s. Draw an accurate graph showing the distance versus time for the car.…

A: When acceleration of an object is constant, then other quantities like velocity, displacement and…

Q: Q17) A stone is projected vertically upwards with a speed of 12 m/s from the top of an 18 m high…

A: When a stone is projected vertically upward first the stone reaches at a maximum height and then…

Q: The velocity of a particle which moves along the s axis is given by v = 5.6 -3.7t + 4t3/2, where t…

A: Given: The velocity is 5.6-3.7t+4t3/2. The initial position is 5 m. The time is 7.5 s.

Q: The v-t graph for the motion of a car as it moves along a straight road is shown. When t = 0, s = 0.…

Q: A student rides a bicycle along a straight road as described by the velocity vs. time graph shown in…

A: In this question we have to find the acceleration at t=6 s. Please give positive feedback if the…

Q: #HA motion of a particle is defined by x(t)=5+3+1+2t, where x is in meter and t is in seconds,…

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: Given that,velovity =vspeed= stime, t=4 ss=f(t)=18+30t+1

Q: The acceleration of a body moving along the X-axis is a = (4x - 2) , where x is in m meters. Given…

A: Given data: The acceleration relation is a=4x-2 m/s2. Velocity at x0=0 is v0=10 m/s.

Q: An object moves along the x axis according to the equation x = 2.75t2 - 2.00t + 3.00, where x is in…

Q: Given the plot of distance versus time below. What is the average speed of the object from 0 s to 4…

Q: An object was observed to have velocity v1 in m/s at time t1 seconds and later velocity v2 in m/s at…

Q: A bicyclist accelerates at 0.89 m/s^2 during a 5s interval. If she started at 2.3m/s, what was the…

A: Initial speed of the cyclist is u=2.3 ms Acceleration of the cyclist is a=0.89 ms2 Acceleration time…

Q: %, = 0 m/s 8. A car initially at rest accelerates linearly at a constant rate for 5 s. If the final…

A: Given Vi = 0 After time t = 5 s Vf = 15 m/s Let acceleration of car is 'a' Therefore, Vf = Vi + at…

Q: A parachutist jumps out of an airplane and accelerates with gravity to a maximum velocity of 68.6…

A: According to guidelines we need to solve only first question. According to question--- We have to…

Q: The velocity of an object v(t) is shown in the graph below. v(t)=tª – 3t² and v (t) = 4t3 – 6t 10-…

Q: A racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The graph below shows the motion of an object. The average speed for the whole journey is 12 m/s.…

Q: A speedboat has a velocity of 48 kph as it comes out of a turn. It accelerates at the rate of 0.3…

A: Given: speed boat velocity v=48 kph = 13.33 m/s Acceleration a = 0.3 m/s2

Q: Question 12 A physics student drives for 1.0 hour at 45.0 mph to pick up his girlfriend from her…

Q: The figure shows the velocity-versus-time graph for a motorcycle moving along the x-axis. vx(m/s) 8…

A: ti = 0 s tf = 8 s The given graph is velocity vs time .

Q: What average speed, most nearly, is required to run a mile (1.6 km), in 4 minutes? a. 5.0 m/s b.…

A: Distance to be travelled is S = 1.6 km => S = 1.6 × 1000 = 1600 m Time required = 4 min => t…

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

100%

A car moves along the x-axis with the equation x = t² + 2t + 3. The average speed of the car over the time interval between t = 1 sec and t = 4 seconds is....

2 m/s

3 m/s

6m/s

7m/s

9 m/s

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Equation to find the speed

VIEW

Calculation

VIEW

Step by step

Solved in 2 steps

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

What are the two roots of the equation (4.9 m/s2)t2 –(30 m/s)t + (3 m) = 0? (t has the unit of seconds.) - 0.102 s, 6.021 s - 0.102 s, - 6.021 s 0.102 s, 6.021 s
A ball rolling along the floor with velocity 0.41 m/s goes from x = 1.35 m to x = 9.8 m. How much time does this take?
The average speed of a car in km/hr that drives a distance of 20 km in a time of 15 minutes is? a. 80 km/hr b. 20 km/hr c. 15 km/hr d. 10 km/hr
The men's world record for swimming 1500.0 m in a long course pool (as of 2007) is 14 min 34.56 s. At this rate, how many seconds would it take to swim 0.2500.250 miles (1 mi = 1609 m)?
A car is moving along the x-axis and its velocity, vx, varies with time as shown in the figure. If x0 = 8 m at t0 = 1 s, what is the position of the car at t = 8 s?
The coordinate of an object is given as a function of time by x = 7t – 3t2, where x is in meters and t is in seconds. Its velocity at t = 4s is: A) -7 m/s B) -11 m/s C) -17 m/s D) 9 m/s F) 31 m/s
A person jogs 45 m east and then 15m west. It takes 15 seconds to complete the jog. Calculate the speed of the person . Choose the correct answer with the correct unit. A. 4 m/s B. 4 mph C. 3 m/s D. 5m/s
The distance, s(t), in feet, traveled by a ball rolling down a ramp is given by the function s(t) = 5t2, where t is the time, in seconds, after the ball is released. Find the ball’s average velocity from: a. t1 = 2 seconds to t2 = 3 seconds. b. t1 = 2 seconds to t2 = 2.5 seconds. c. t1 = 2 seconds to t2 = 2.01 seconds.
A car is moving with a velocity (3.0 m/s) + (1.0 m/s) and 2.0 seconds later its velocity is (6.0 m/s) - (3.0 m/s). What is the magnitude of the average acceleration of the car?
The Shinkansen (bullet train in Japan) makes a trip from Tokyo Station to Kyoto station in 2.0 hours and 14 min. The distance traveled is 460 km (to two significant figures). Determine the average velocity of the train in meters per second (m/s). [conversions: 1 km = 1000 m, 1 hr = 3600 s, 1 min = 60 s] *Round your answer to two significant figures in the standard form* *
An unidentified flying object (UFO) is observed to travel a total distance of 42000 m, starting and ending at rest, over a duration of 2.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 39,207 g s 19,604 g s 3,997 g s 1,998 g s
Peter is running a marathon according to the equation x(t) = (-0.31)t3 + (0.68)t6 + (-2.56)t10 m. What is the acceleration at time t = 0.29 s? Round your answer to 2 decimal places.