The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 8 t2 , where t is measured in seconds. Find the velocity (in m/s) of the particle at times t = a, t = 1, t = 2, and t = 3.

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 8 t2 , where t is measured in seconds. Find the velocity (in m/s) of the particle at times t = a, t = 1, t = 2, and t = 3.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 5.. The timing of the fall of a steel ball photoelectrically can be used to determine the…

Q: The displacement of a particle is given by s = 4t3-70t2 + 112t-34 where s is in feet and t is in…

A: Given: s=4t3-70t2+112t-34 ft

Q: A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km…

A: Given:The travels Distance,The toatal distance,SS=1 km+1 km+1 km =3 kmTime,t=45 min.What was the…

Q: You attach a meter stick to an oak tree, such that the top of the meter stick is 2.67 meters above…

A: A meter stick is attached to the oak tree, such that its top is at a height of 2.67 m from the…

Q: A rhinoceros is at the origin of coordinates at time t₁ = 0. For the time interval from t₁ to t2 =…

Q: Solve the following two equations for the (positive) time, t, and the position, x. Assume SI units.…

A: Given Information :x = 3t2 -----Equation1x = 45t + 63 -------Equation2

Q: Given the Velocity-Time graph of an object moving in straight line. Find the average speed and…

Q: A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other,…

A: Concept of Relative velocity: Let's assume velocity of an object "O" moving at velocity (V0) w.r.t…

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A: Velocity and displacement.

Q: A vehicle travels on a straight stretch of road. Its position coordinate x (km) measured from a…

A: Given data The position coordinate is x = 4t3+21t2+18t+4 The duration of travelling is t = 1 hr On…

Q: The acceleration of a particle is given by a = 2t - 28, where a is in meters per second squared and…

Q: A jetliner, traveling northward, is landing with a speed of 68.2 m/s. reduce its speed to 7.16 m/s.…

Q: You are driving home from school steadily at 97 km/hkm/h for 160 kmkm . It then begins to rain and…

Q: 6. The motion of a particle is defined by the equations x = (2t + t?) m and y = (t²) m, where t is…

Q: A car accelerates with a constant acceleration of 1.2 m s along a long straight road. How long does…

A: Simple problem from Kinematics. Let's solve it by using the 1st and 2nd equations of motion for…

Q: of an object (in m/s2) is given by the function a ( t ) = 5 sin ( t ). The initial velocity of the…

Q: I took 2.28km and converted it to 2280 meters then divided by 3200 and ended up with .71m/s but it…

Q: The acceleration of a particle is given by a = A√t 5 where A = 2.5 m/s2. Att = 0, v = 6.2 m/s and x…

Q: A car has an initial velocity of 18.4 m/s and a constant acceleration of 9.2m/s^2. What is the…

A: Given that - Initial velocity of the car Acceleration of the car Time To Find - We have to…

Q: The acceleration of a particle is given by a = 2t - 15, where a is in meters per second squared and…

Q: he velocity vx (in m/s) of an object is given by the equation vx = 4t + 3, where t is the time in…

A: Equation of velocity of object is; vx=4t+3 Part A: Displacement of object is calculated by…

Q: A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11…

Q: A jogger runs 540 m Eastward then runs 320 m Westward, then runs 710m Eastwards and finally 920m…

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: Consider the game of baseball. A pitcher throws a ball to the catcher, with a speed of 86 miles per…

Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: A panther jumps to a height of 2.55 m when leaving the ground at an angle of 42.0°. What is its…

A: Concept: When an object through from the ground at an angle θ with the horizontal than the maximum…

Q: The velocity of an object as a function of time is given by v(t) = b + ct - et², where v and t are…

A: Data we have v(t)=b+ct-et2 To find instantaneous acceleration when t=0.63s

Q: The displacement of a particle is given by s = 3t° - 42t2 + 109t - 39 where s is in feet and t is in…

A: Given: The displacement of the particle (s) is s=3t3-42t2+109t-39 The rate of change of…

Q: An object moves along the x-axis so its x-coordinate obeys the equation x=at² + bt+c, where a = 11,…

Q: Figure 1 shows the velocity-time graph of a person moving along one straight path called the x-axis.…

Q: Xavier starts 5 feet away from a motion detector. He then walks away from the detector at a rate of…

A: Given data The initial distance from the detector is do=5 ft The first speed is v1=0.5 ft/s The time…

Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

Q: Solve the following two equations for the (positive) time, t, and the position, x. Assume SI units.…

A: Given Information :x = 3t2 -----Equation1x = 45t + 63 -------Equation2

Q: The velocity of an object in one- dimensional motion is v(t) = (3.00 t + 5.00 t2) m/s, where t is…

A: Acceleration is nothing but the rate of change of velocity i.e change is velocity per time. So in…

Q: The motion of a particle is governed by a relation a = 2t squared, where acceleration (a) is in ft…

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: ASSIGNMENT No. 1: 1. A snowboarder starts from rest at the top of a double black diamond hill. As…

A: The velocity of an object is given as v=dxdt…

Q: The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in…

A: First we find expression for velocity and acceleration then after putting value of t as required…

Question

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion

s =

t²

where t is measured in seconds. Find the velocity (in m/s) of the particle at times t = a, t = 1, t = 2, and t = 3. t = a

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The speed S (m/mii) of an object is defined by S = 6t² + 2t + 3 after t minutes. For the first one minute, the object travelled for 10 m. Determine how far the object travelled for the first two minutes. O 25 O 40 O 20 O 30
A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 640 mi/h, how far is she from her starting position?Your answer is______mi;
A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following table. t (seconds) 0 3 6 9 12 Velocity (ft/sec) 0 8 27 43 74 A. Estimate how far the car traveled during the first 12 seconds using the left-hand sums with 4 subdivisions. Answer: B. Now estimate how far the car traveled during the first 12 seconds using the right-hand sums with four subdivisions. Answer:
The displacement of a particle is given by s= 5t³-83t² + 120t-43 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 15 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 3.2 sec, 5- i Att - 7.9 sec, Att = 12.5 sec. S= i S= i The velocity is zero whent - i ft, vi ft, vi ft, vi sec and when t= ft/sec, a- ft/sec, a- ft/sec, a= i i sec ft/sec ft/sec ft/sec
During a rodeo, a clown runs 8.0m north, turns 35Degrees east of north, and runs 3.5m. Then, after waiting for the bull to come near, the clown turns due east and runs 5.0m to exit the arena. What is the clowns total displacement?
A car is traveling west at 22.5 m / s when it turns due south and accelerates to 37.5 m /s, alt during a time of 4.00 s. what is the magnitude of the car's average acceleration
A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 660 mi/h, how far is she from her starting position? Your answer is _______________ mi Enter your answer rounded to two decimal places.
Problem 5. The velocity of a particle moving along the x -axis is defined by v = kx°- 4x² + 6x , where v is in m/sec, x in meters , and k is constant. If K = 1, compute the value of acceleration after x= 2meters. Find: 10. a = ?
A ball is thrown straight down at 1.29 m/s and hits the ground 1.07 seconds later. How many meters did the ball travel before hitting the ground? Type your answer.
An insect takes 8.03 minutes to walk 19.9 m toward the south along a deserted highway. A driver stops and picks up the insect. The driver takes the insect to a town 1.62 km to the north with an average speed of 15.6 m/s. What is the magnitude of the average velocity of the insect for its entire journey? Express your answer to 3 significant figures in meters/second.
Answers should be in 3 decimal places. A particle moves along a straight line so that s = 3t3 – 4t2. Find the time (in secs) to attain maximum positive speed.
A n C D B 02 4 6 8 10 12 position x(m) Part (a) What is the distance traveled, in meters, for path D? X Attempts Remain Part (b) What is the magnitude of the displacement from start to finish, in meters, for path D? Part (c) What is the displacement from start to finish, in meters, for path D?