2 - kindly provide a clear and correct solution, thanks! A car travels along a straight path begins to accelerate at a = (6t^2 – 4t)ft/s^2. At t = 0s, its velocity is 3 ft/s and its position is 4 ft.A) Determine its velocity at time t.B) What is its position when t = 4 s?

Answered: Image /qna-images/answer/4e306544-29b5-4be2-a6d6-0b8b3e0b9ac1.jpg

A car travels along a straight path begins to accelerate at a = (6t^2 – 4t) ft/s^2. At t = Os, its velocity is 3 ft/s and its position is 4 ft. A) Determine its velocity at time t. B) What is its position whent = 4 s?

A car travels along a straight path begins to accelerate at a = (6t^2 – 4t) ft/s^2. At t = Os, its velocity is 3 ft/s and its position is 4 ft. A) Determine its velocity at time t. B) What is its position whent = 4 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 4P: A person walks first at a constant speed of 5.00 m/s along a straight line from point to point and...

See similar textbooks

Related questions

Q: The ball is served by the volleyball player with an initial velocity of 13.40 m/s at an angle of 20 ...

Q: Using ray method, kindly describe the image form by curve mirror. Describe in terms of nature (real ...

Q: Rod- Pithball- rod pithball Rod- Pithball- rod pithball 10.

Q: the engine of an unpowered toy train is rolling at a constant

A: the engine of an unpowered toy train is rolling at a constant

Q: bod0/assignments/672752eb9b834461b0dcbee6f149f525/contents/59ff2376-07 Classc5/01 rgy Two identical ...

Q: 1. The number of turns on the primary and secondary windings of a 1-0 transformer are 350 and 35 res...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: The current in a video game is 2.50A. If the resistance of the game’s circuitry is 27Ω, what is the ...

A: Given data: Current (I) = 2.50 A Resistance (R) = 27 Ω Required: Voltage (V)

Q: Alice and Bob had car trouble. Their car broke down and Bob could not restart it. Alice got out to p...

A: The third law of motion of Newton says that for every action there is an equal and opposite reaction...

Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the re...

Q: A 7.0-kg spherical shell at rest explodes into two fragments, one with a mass of 2.0 kg and the othe...

Q: wo persons, weighing 784 N each, carry an excess charge of 1.0 Coulomb, one positive and one negativ...

A: Force between two point charge F = kq₁q₂/r2

Q: 3. There are very large number of charged particles in most objects. Why don't most objects exhibit ...

A: As we know the matters are made of atoms, the building unit of matters is atoms.

Q: Mary and her younger brother Alex decide to ride the 17-foot-diameter carousel at the State Fair. Ma...

A: (a) In a uniform circular motion, angular velocity is uniform. This means equal changes in angular d...

Q: A power company charges $0.095 per KW•hr. There is a microwave rated at 1200 W, a TV rated at 60W, a...

A: Given data: Cost of electricity = $0.095 per KW•hr Power of Microwave = 1200 W = 1.2 kW used for 5 ...

Q: 2) Consider the circuit shown. a) Find the current in the 10 2 resistor with the switch open. b) Fin...

Q: If an object travels at a constant speed in a circular path, the acceleration of the object is in th...

Q: As the car drives over the speed bump, the four springs in the suspension compress to absorb energy....

A: The potential energy stored in a spring is given by:- U= kx2/2 Where; k= spring Constant= 95000 N/m ...

Q: The net electric flux through a closed surface (real or imaginary) is directly proportional to _____...

A: Gauss law : the net electric flux through a closed surface is equal to 1/ε0 times of net charge enc...

Q: 34. The protein dynein powers the flagella that propel some unicellular organisms. Biophysicists hav...

A: Given Max force F = 1pN = 10-12 N Amplitude of oscillation A = 15 nm ...

Q: A solid ball is rotated by applying a force of 4.9 N tangentially to it. The ball has a radius of 14...

Q: Two crewmen pull a raft through a lock, as shown in the figure below. One crewman pulls with a force...

A: Given: F1=129 Nθ1=34.7°θ2=46.6° The free-body diagram is given below.

Q: (4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 °C and ...

A: Given,temperature of the cold reservoir, TC = 0.0 °Ctemperature of the hot reservoir, TH = 24.0 °Cma...

Q: In the figure a "semi-infinite" nonconducting rod (that is, infınite in one direction only) has unif...

Q: The relation a = -k/x is defined as the particle's acceleration. It is determined through experiment...

Q: Jack (mass 55.0 kg) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He coll...

Q: A car is skidding to a stop on a level stretch of road. Draw a free-body diagram for the car. The ca...

A: Given statement : " A car is skidding to a stop on a level stretch of road. The car is moving to the...

Q: The acceleration of a car is given by a = [ (3t^3 + 4t)i + 6tj + (8t – 5)k ] m/s^2. D

Q: 34. Which graph best represents the relationship between the gravitational potential energy PE with ...

A: 34) Let the mass = m let the height = h let acceleration due to gravity = g

Q: A baseball is hit 4 ft above the ground and leaves the bat with an initial speed of 98 ft/s at an an...

A: r→t=r0→+u→t+12g→t2

Q: how the electrostatic force between two particles changes with the magnitude of the charge of the pa...

A: Given .... How electrostatic force between two particles changes ...

Q: probably finished, which of the following correctly explains a flaw in Bob's logic?

Q: 11. An object projected upward at an angle 0 = 35°with the horizontal has an initial speed of 40 m/s...

A: Given initial velocity u = 40 m/s angle of projection θ = 35⁰

Q: Which rules of ray tracing apply to diverging lenses? A ray that passes through the center of the le...

A: A diverging lens is a lens that diverges rays of light that are traveling parallel to its principal ...

Q: Describe the image created by a convex lens when the object is located between the focal point F and...

Q: This is the vx-tgraph for an object moving along the x-axis. Which of the following descriptions of ...

Q: a) Find the magnitude of the current in each resistor. b) Find the difference in potential between a...

Q: What is the resistance of a 3.9 m length of copper wire 1.3 mm in diameter? The resistivity of co...

A: The resistance of a wire is given by, R = ρlA Here, ρ is the resiticvity of the wi...

Q: 38. When a 5-kilogram mass is lifted from the ground to a height of 10 meters, the gravitational pot...

Q: Consider the vectors shown above. What is the cross product ? -180 m2 k 144 m2 k 103 m2 -103 m2 k 18...

Q: Three charges are placed on three corners of a square, as shown in the figure. Each side of the squa...

A: Electric field due to point charge E = kq/r2

Q: A gold wire carries 22 A of current with a drift velocity of 4.3 × 10-3 m/s. Assume there is one fre...

A: Since you have asked multiple questions, we will answer you the first question. Kindly repost the qu...

Q: The planet Jupiter rotates every 9.9 hours and has a diameter of 88 846 miles. If you’re standing on...

Q: Three point charges are located on an x-axis. Charge q1 = 3 µC is at position x = 0 m, and charge q2...

Q: Two charges, 9, = -18.5 nC and q, = 26.5 nC, are separated by a distance d = 3.50 cm as shown in the...

Q: Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a poss...

A: The magnitude of one of the vector = 20 mm The magnitude of other vector = 50 mm

Q: A 22-g bullet traveling 210 m/s penetrates a still 2-kg block that is 1 m thick and emerges going at...

A: Since you have asked multipart question, we will provide you the solution of the first 3 parts. Kind...

Q: Part A What is the potential difference AVy in the figure(Figure 1) if V12 = 35V, V23 = 50V and V41 ...

A: Given ∆V12 = 35 V ∆V23 = 50 V ∆V41 = -65 V ∆V34 =?????

Q: 1. What is the potential at point c? explain your answer. A. -400 V у (m) B. -350 V 1.0- (-200 V 0.5...

A: The Equipotential lines diagram shows the different lines along which there is fixed electric potent...

Q: 3. A block weighing 200 N rests on a plane inclined upward to the right at a slope of 4 vertical to ...

A: Given that:- Weight of block rest on inclined=200N Weight of block hanging=100N

Q: A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20-g bullets at 965 m...

A: Given, Mass of bullet=4.20g Velocity=965m/s Mass of gun=72.5kg

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

2 - kindly provide a clear and correct solution, thanks!

A car travels along a straight path begins to accelerate at a = (6t^2 – 4t)
ft/s^2. At t = 0s, its velocity is 3 ft/s and its position is 4 ft.
A) Determine its velocity at time t.
B) What is its position when t = 4 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

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 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

Hannah tests her new sports car by racing with Sam, an experienced racer. Both start from rest, but Hannah leaves the starting line 1.00 s after Sam does. Sam moves with a constant acceleration of 3.50 m/s2, while Hannah maintains an acceleration of 4.90 m/s2. Find (a) the time at which Hannah overtakes Sam, (b) the distance she travels before she catches him, and (c) the speeds of both cars at the instant Hannah overtakes Sam.
The Acela is an electric train on the Washington-New YorkBoston run, carrying passengers at 170 mi/h. A velocity-time graph for the Acela is shown in Figure P2.69. (a) Describe the train's motion in each successive lime interval, (b) Find the trains peak positive acceleration in the motion graphed, (c) Find the trains displacement in miles between t = 0 and t = 200 s.
The Acela is an electric train on the WashingtonNew YorkBoston run, carrying passengers at 170 mi/h. A velocitytime graph for the Acela is shown in Figure P2.46. (a) Describe the trains motion in each successive time interval. (b) Find the trains peak positive acceleration in the motion graphed. (c) Find the trains displacement in miles between t = 0 and t = 200 s. Figure P2.46 Velocity versus time graph for the Acela.
A person walks first at a constant speed of 5.00 m/s along a straight line from point to point and then back along the line from to at a constant speed of 3.00 m/s. (a) What is her average speed over the entire trip? (b) What is her average velocity over the entire trip?
A parcel of air moving in a straight tube with a constant acceleration of 4.00 m/s2 has a velocity of 13.0 m/s at 10:05:00 a.m. (a) What is its velocity at 10:05:01 a.m.? (b) At 10:05:04 a.m.? (c) At 10:04:50 a.m.? (d) Describe the shape of a graph of velocity versus time for this parcel of air. (e) Argue for or against the following statement: Knowing the single value of an objects constant acceleration is like knowing a whole list of values for its velocity.
A man runs at a constant 4m/s for 40s and then runs @ 8m/s back to his starting position. A. Total time of run ? B. Total distance covered? C. Avg speed D. Displacement at end of trip ? E. Avg. Velocity and direction if any ? How do you solve this ? Thank you
. If a man ran at constant 4 m/s for 40 s and then he ran at 8 m/s back to his starting position. a. What was the total time of his run? ______________ s b. What would be the total distance he covered? ______________ m c. What would be his average speed? ______________ m/s d. What was his displacement at the end of his trip? ______________ m e. What was his average velocity? ______________ m/s and direction (if any)____
A stone is thrown vertically upward from the top of a building. If the equation of the motion of the stone is s=-5t^2+30t+200, where s is the directed distance from the ground in meters and t is in seconds. a. What is the height of the building? b. What is the average velocity in the time interval [1,3]c. What is the instantaneous velocity at time t=1?d. At what time will be the stone hit the ground?
If a man ran at 3 m/s for 10 s and then -3 m/s for 10 s more. a. What would be the total distance he traveled? ______________ m b. What would be his average speed? ______________ m/s c. What was his displacement at the end of his trip? ______________ m d. What was his average velocity? ______________ m/s and direction (if any)_______
At time t0=0.0s, a car, starting from rest, moves south. It continues moving south, and by time tf =121s, it has covered a distance of d=6689m. Take north as the positive x direction, as indicated in the figure. Part A: What is the car's average speed, in meters per second, during this period? Part B: What is the car's displacement, in meters, during this period? Part C: What is the car's average velocity, in meters per second, during this period? Part D: A different car, after starting from rest at t0 =0.0s, travels for the same period, tf =121s, attaining a final velocity of vf =−30.0m/s. What is this car's average acceleration, in meters per squared seconds, during the period described?
Consider a runner traveling with an initial velocity of 3.1 m/s in the positive direction accelerates at a constant rate of 1.8 m/s2 for a time of 3 seconds. What distance does the runner cover during this process? The distance traveled by the runner is ? m.
An object is moving North with a velocity of 12 m/s. It accelerates at a rate of 3 m/s2s2 for 10 seconds. What is the velocity of the object after that time? A. 40 m/s North B. 42 m/s North C. 44 m/s North D. 50 m/s North