Here are a couple acceleration problems. Acceleration isn't necessarily constant. These problems will be pure math problems, meaning that we won't use units. a(t) = dv/dt = 38 cos(3t) v(t) = dx/dt, v(0) = -4, and x(0) = 8 Calculate v(8). The argument of the cosine function is in radians.

Here are a couple acceleration problems. Acceleration isn't necessarily constant. These problems will be pure math problems, meaning that we won't use units. a(t) = dv/dt = 38 cos(3t) v(t) = dx/dt, v(0) = -4, and x(0) = 8 Calculate v(8). The argument of the cosine function is in radians.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as...

See similar textbooks

Related questions

Q: An object moving at constant speed v around a circle of radius rhas an acceleration a directed…

A: Relation between acceleration and velocity can be express as - a=v2r Where, a = Acceleration v =…

Q: An object is released from rest at a height of h. During the final second of its fall, it traverses…

A: Since the object is released from rest at a height, its initial velocity is zero and it is under the…

Q: A dog initially at rest, starts running inside a circular track with a 40π m circumference. The…

Q: A particle moves ccw on a circular path of 400 ft radius. It starts from a fixed point which is…

A: Conversion unit: 1 radian=180πdegrees particle is moving from the horizontal right side of the…

Q: Which of the following quantities are vectors, and which are scalars? Be sure to explain the…

A: CONCEPT: Vector quantities are those quantities which have both magnitude and direction because…

Q: A bottle rocket is launched straight up. Its height in feet (y) above the ground x seconds after…

A: Given: The equation of motion is given as, y=-16x2+124x+8

Q: The radius of the earth is R. At what distance above the earth's surface, in terms of R , is the…

A: We know, g=GMEarthR2

Q: An astronaut is rotated in a horizontal centrifuge at a radius of 5.6 m. How many revolutions per…

A: Radius , r = 5.6 m Acceleration = 5.3g To find = revolutions per min

Q: Vectors u = −10i + 3j and v = −7i − 9j. What is u − v? a −17i − 6j b 17i + 6j c 3i − 12j…

A: Vectors u = −10i + 3j and v = −7i − 9j. We have to determine u − v.

Q: 5. A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a fixed…

A: The diagram below depicts the given situation.

Q: [1] 1 + (1-161²) is the position of a particle in space at time t. Find the angle between the…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given data: Initial speed = v Radius = r New speed (v1) = 1.175 v Required: Percentage increase in…

Q: A particle moves in the xy-plane so that its velocity vector for time 0 <<10 is (√36-61, 4t). Which…

Q: A runner runs around a circular track. He completes one lap at a time of t = 292 s at a constant…

A: We know, Speed(v) = distance(S)/time(t)

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: A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a…

Q: A dog initially at rest, starts running inside a circular track with a 40π m circumference. The…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given: An object’s speed is v. The radius is r. Acceleration is a.

Q: Let W = (x²y, y³z, xyz). Determine V.W.

A: We will first write expression for divergence of a vector. We then use the given vector in this…

Q: We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The…

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 11.5 m in…

A: Diameter, D = 11.5 m Radius, r = D/2 = 5.75 m Angular velocity, ω = 30.6 rev/min => ω =…

Q: I need help with this practice problem. I was given the answer key but I need help solving it step…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given information: The speed of the object is increased by 20.5 %

Q: An object is traveling around the rim of a circular track whose diameter is 45.3 m. When it has…

Q: A ball swings counterclockwise in a vertical circle at the end of a rope 1.32 m long. When the ball…

Q: A particle moves in a curve path according to the law s = t^3 – 40t^2 + 8t + 100 where s is in meter…

A: Consider the given data as below. A particle moves in a curve path according to the low,…

Q: Airplane makes a gradual 90 degrees turn while flying at a constant speed of 200 m/s. The process…

Q: ou are assigned to do some calculations for a movie stunt that involves a car on a straight road.…

A: To calculate,1.Calculate the magnitude of the acceleration of the car during the first 50 m.2.…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Radial acceleration is given by, ar=v2r Speed is increased 19%.So, new speed is, vnew=v+19v100…

Q: Now in velocity selector region, determine the magnitude and the directions of magnetic, electric…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Here are a couple acceleration problems. Acceleration isn't necessarily constant.

These problems will be pure math problems, meaning that we won't use units.

a(t) = dv/dt = 38 cos(3t)

v(t) = dx/dt, v(0) = -4, and x(0) = 8

Calculate v(8). The argument of the cosine function is in radians.

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

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

Hi, I'm stuck with this question
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15
Cartesian Vectors in Two dimensions3. Select the expression that denotes a unit vector in the direction of F1 . a. 0.643i - 0.766 j b. 0.766i - 0.643 j c. -0.766i - 0.643 j d. 0.766i + 0.643 j 4. If α = 45ᵒ , determine the magnitude of P that makes the resultant of the three vectors(R = F1 + F2 + P ) horizontal.a. 93.9lb b. 51.5lbc. 72.7lb d. 25.8lb 5. Ifα = 45ᵒ , and the resultant (R = F + F + P ) is horizontal, determine its magnitude, R . a. 132lb b. 86.6lbc. 97.7lb d. 24.9lb 6. Ifα = 45ᵒ , find the magnitude of the projection of F1 in thedirection of P .a. 3.24lb b. 4.49lbc. 6.97lb d. 11.2lb
Question: The polar coordinates of a point are 50m and . Then, what are its Cartesian coordinates? A. 2.75i+ 4.763j m, B. -2.75i- 4.763j m, C. 2.75i - 4.763j m, D. 4.763j m, E. -2.75i + 4.763j m,
In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 11.5 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? Express this acceleration in terms of a multiple of g. If you want to decrease the acceleration by 13.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? acceleration: acceleration as a multiple of g: percent of time change: m/s² %
A vector A = Axi + Ayj + Azk has magnitude A. Then the dot product of the vector with itself, A.A is
The speed of a particle moving along circle of radius r=4 m, is v(t) = 4t; where v is in m/s and t is in s. The magnitude of the total acceleration (in m/s) of the particle at t = 1s is: a.4.0 b. 5.4 c. 8.9 d.2.1 e. 6.7
Airplane makes a gradual 90 degrees turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. 1. for this turn, the magnitude of the radial acceleration of the plane is?
I need a solution quickly
A calculator may not be used on the following questions. A particle moves in the xy-plane so that its velocity vector for time 0 <<10 is (√36-67, 4t). Which one of the following statements is true about the particle when * = 1? Select one: a. The speed of the particle is √30 +4. O b. The particle is at rest. Oc. The particle is speeding up. Od. The particle is slowing down.
A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R,. (b) What is the magnitude of this vector? (c) Notice that R, ck, and R, make a right triangle. Obtain a vector expression for the body diagonal vector R2. b Ro R1 Figure P3.45
An object is released from rest at a height of h. During the final second of its fall, it traverses a distance of 38m. Determine h. I would like to know the solution but also maybe an explanation on how I would know what process to take. For the last second, I was able to find that final vf = 38m/s. That is vf = deltax/deltat, or 38m/1s. I plugged it in to vf2 = vo2 + 2a(deltax), since I think that vf shouldn't change for h, but I got the wrong answer. Please explain.