speed boat has a velocity of 48 kph as it comes out of a turn. It accelerate at the rate of 0.3 mps2 for the first ½ km of the straightway and then maintain this final velocity for the next ½ km. How long did it take to cover the kilometer

speed boat has a velocity of 48 kph as it comes out of a turn. It accelerate at the rate of 0.3 mps2 for the first ½ km of the straightway and then maintain this final velocity for the next ½ km. How long did it take to cover the kilometer

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.26P: The velocity vector of the boat has two components: v1 is the velocity of the water, and v2 is the...

See similar textbooks

Related questions

Q: A train starts from rest at station A and accelerates at 0.5 m/s2 for 60sec. Afterwards, it travels…

A: Find distance travelled between A and D.

Q: Acceleration vs. position of a particle is as given in the figure. If the velocity v = 5 m/s at s =…

Q: Q3/ A car is moving along a straight line with the acceleration a- (12t- 3t) mis', where t is in…

Q: The car slows down at constant acceleration of 4 m/s^2 from the velocity of 40 m/s. Detemine the…

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 413 -…

Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t - 6) m/s²,…

Q: x and y coordinates of a particle are given as x = 4t - 3t², y = t³, both in meters, where t is in…

Q: 5/A/ A runner in a 1000 m race accelerates uniformly for first 400m and hen runs at constant…

Q: A bicyclist starts from rest and after traveling along a straight path of 20m, he reaches a speed of…

A: Using Newton's law of motion to solve this problem Find a, t

Q: The velocity of a particle traveling along a straight line is v= (312 - 6t) ft/s, where t is in…

A: Given: Velocity of the particle→v=312-6t fts We know that→v=dsdt Hence:…

Q: If a car is traveling at 88.5 km/h, determine its speed in meters per second.

A: Given: The velocity of the car is V=88.5 km/h The unit conversion factor from km/h to m/s is as…

Q: A particle's displacement is defined as s = 2t3 - 30t2 + 100t -50, where s is in feet and t is in…

Q: The equation of motion of a particle is s = 8t2 + 3t – 10, where s is in meters and t in seconds.…

A: Given data, s= 8t²+3t-10 Need to find initial velocity

Q: A particle has an initial speed of 44 ft/s. If it experiences a deceleration of a = 312 –8 ft/s²,…

A: Given data: The initial velocity is, u=44 ft/s. The deceleration of particle is, a=3t2-8 ft/s2. The…

Q: Specifically a dynamics problem: A particle travels along a straight line such that its position is…

Q: A particle moves along a straight line in such a manner that its displacement, at any instant, from…

A: To Find : The distance (in meter) traveled by the particle during the 10th sec . Given : The path…

Q: A particle moves along a straight line so that S=3t3-4t2 where s is in meter and t in…

A: The given equation is: S=3t3-4t2.......1 Differentiate the expression (1) to get the velocity.…

Q: Starting from rest, a particle moving in a straight line has an acceleration of a= (5t2 – 2t) m/s2,…

A: For calculating velocity after 2sec and position after 8sec, we integrated the given equation for…

Q: The position of a particle traveling in a straight line is defined by the relationship x = t3 - 6t2…

Q: A particle moves in a straight line according to the law s=t^3 - 40t where s is in meter and t is in…

A: Given is a particle follows straight line according to law s(t) = t3 - 40t equation 1…

Q: A particle moves along a straight line such that its position is defined by s = (r' -7 + 5) m.…

Q: The motion of a particle is defined by the relation. x = t²-10t+30 where, x in meters, t in sec.…

Q: A ball is thrown so that the motion is defined by the equations x-46r and y = 2+6t – 4.9t, where…

A: We have given x=4.6t and y=2+6t-4.9t2 x and y are expressed in meters and t is in second find…

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 338 -…

A: Answer: (a) The net displacement : ∆s = 1.08258 m. (b) The total distance travelled : D = 1.13178 m.…

Q: Q1: a) An airplane has a lift off speed of 120km/h. If the plane needs a 240m of runway to take off,…

A: Here, u=0 m/secv=120 km/hr=33.33 m/secs=240 m

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

Q: 1. A world-class sprinter accelerates to his maximum speed in 4.0 s. He then maintain this speed for…

Q: The position of a particle is defined by x=2t3-18t2+48t-16, where x in m and t in X s. Determined 1)…

Q: measured by meters. If s 5m when t 0, define the velocity and acceleration as functions of time,…

Q: A car starting from rest is accelerated at the rate of 0.676 m/s?. Find the distance covered by the…

A: A moment of inertia is the mass of the body when a body is rotating on an axis. The moment of…

Q: 1) A subway train starts from rest at a station and accelerates at a rate of 1.6 m/s² for 14…

A: Given, u = 0 a1 = 1.6 m/s2 t1 = 14 sec t2 = 70 sec a2 = -3.5 m/s2 v = 0

Q: What is the local acceleration (m/s) for a fluid particle that travels along a path with velocity…

A: Fluid is a state of matter which deforms continuously on the application of force externally,…

Q: Q1: The displacement of a particle is given by s= 2t - 30t² + 100t – 50 , where s is in feet and t…

A: Solution:

Q: When a ball is trown vertically upwards it goes trough a distance os 19.6 m.Find the initial…

A: Here, A ball is reaching to maximum height of 19.6 m Hence, hmax = 19.6 m Gravitational acceleration…

Q: A particle moves along a path according to the equations x = 9 - t4/9 and y = t2/3 where x…

Q: \ particle is moving along a straight line such that its position from a fixed point is s = 12 -…

Q: VA runner in a 1000 m race accelerates uniformly for first 400m and then runs at constant velocity,…

A: Given data: The initial velocity of the runner is given as u = 0 m/s. Consider the acceleration of…

Q: A runner in a 1000 m race accelerates uniformly for first 400m and then runs at constant velocity,…

Q: A particle travels in a vertical path according to the relation y= 20+ sin2t + 3 cost where y is in…

Q: A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 15…

A: Velocity is defined as the the rate of change of displacement with respect to time. v=dxdt…

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 490 -…

A: Answers: (a) ∆s = 1.528589 m. (b) D = 1.789255 m.

Q: QI/ A car starts from rest and moves with a constant acceleration of 1.5 m/s until it achieves a…

Q: The velocity of a particle is defined by vx = 100-t³/2 and vy=100+ 10t2t² where v is in fps and t in…

A: At the top of its path, the velocity component in y-direction will be 0 so calculate the time.…

Q: , determine the position of the particle when

A: determine the position of the particle

Q: Cylinder B has a downward velocity in feet per second given by Vg = 2/2 + t°/6, where tis in…

Q: A particle is observed to start at rest and accelerates at a = 30 + 2t, where t is in seconds, until…

Q: The rocket sled starts from rest and accelerates at a = 30 + 2t m/s2 for the first 10 seconds. It…

A: The velocity is nothing but the rate of change of distance with respect to time. Mathematically it…

Q: The jet car is originally traveling at a velocity of 10 m/s when it is subjected to the acceleration…

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

speed boat has a velocity of 48 kph as it comes out of a turn. It accelerate at the rate of 0.3
mps2
for the first ½ km of the straightway and then maintain this final velocity for the next ½
km. How long did it take to cover the kilometer

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 2 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Specifically a dynamics problem: A particle travels along a straight line such that its position is defined by s = (t2 - 6t + 5) m. Determine the average velocity, the average speed, and the acceleration of the particle when t = 6 s.
An object is traveling along a straight line, and the velocity of the object is defined by v = (30 - 0.03s2) m/s, where s is in meters. Calculate the acceleration of the particle at s= 10 m.
A particle's displacement is defined as s = 2t3 - 30t2 + 100t -50, where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration of the first 12 seconds of motion as functions of time. Calculate the time when the velocity is equal to zero. (t1 at v=0) and (t2 at v=0)
If a car is traveling at 88.5 km/h, determine its speed in meters per second.
The equation of motion of a particle is s = 8t2 + 3t – 10, where s is in meters and t in seconds. Find the velocity at the point of origin (in m/s)
Q1: a) An airplane has a lift off speed of 120km/h. If the plane needs a 240m of runway to take off, what acceleration is needed? How long in seconds is needed for the take off? b) If the lift off speed of this plane was 170km/h (assuming the same acceleration), can this plane land on the same runway?
A particle moves along a straight line with an acceleration given by o =2t-6 m/s> determine the velocity and displacement during the first 6 seconds and 11 seconds of motion
A particle is observed to start at rest and acceleration at a=30+2t, where t is in seconds, until its velocity is 39.20 m/s. It then hits an obstruction and the acceleration is given by a= -0.003v2, until the velocity decreases to 98.20 m/s. Determine the total distance the particle travelled, and the total time of travel.
An automobile has a speed of 90 km/hr when the brakes are applied. Thecar is slowed down at the rate of 4 m/s 2 . What time is required to stop the car, and how far will it travel before stopping?
A particle moves along a path according to the equations x = 9 - t4/9 and y = t2/3 where x and y are in meters and t is in seconds. Determine the magnitude of the velocity (in m/s) of the particle in 1.97 seconds.
Q3. The velocity of a particle traveling along a straight line is v = (3t2 - 6t) ft/s, where t is in seconds. If s = 4 ft when t = 0, determine the position of the particle when t = 4 s. What is the = total distance traveled during the time interval t = 0 to t = 4 s? Also, what is the acceleration when t = 2 s?
The position of a particle traveling in a straight line is defined by the relationship x = t3 - 6t2 - 15t + 40, where x is measured in feet and t is measured in seconds. Calculate the time when the velocity is equal to zero.