A motorcycle travels along a straight line with a velocity [ v = ( 2t² – 8 ) m/s ], where ( t ) is in seconds. When ( t = 1 s ), the motorcycle is located ( 10 m ) to the right of the origin. Determine: a- The displacement from ( t = 0 ) to ( t = 10 s ). b- The distance traveled by the motorcycle for the same time interval. c- The average velocity at this time interval. d- The average speed at this time interval. e- The acceleration at ( t = 5 s ).

A motorcycle travels along a straight line with a velocity [ v = ( 2t² – 8 ) m/s ], where ( t ) is in seconds. When ( t = 1 s ), the motorcycle is located ( 10 m ) to the right of the origin. Determine: a- The displacement from ( t = 0 ) to ( t = 10 s ). b- The distance traveled by the motorcycle for the same time interval. c- The average velocity at this time interval. d- The average speed at this time interval. e- The acceleration at ( t = 5 s ).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: An object of mass 2 kg is subjected to a varying force, and it moves along a straight line with time…

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

Q: The velocity of a particle is v = {2i+ (6 – 2t)j} m/s, where t is in seconds. Part A If r = 0 when t…

Q: 2. Will is practicing pitching and using a 10-lb block as a backstop. He throws the 1-lb baseball at…

Q: The trajectory of a rocket as a function of time given by: 7(t) (1.3 ² + 0.4 ³ ) i +0.4 j = The…

Q: The vertical motion of mass A is defined by the relation x = cos(10 t) - 0.1sin(10t), where x and…

Q: . A 500-kg is traveling at a speed of 45 m/s when it encounters a bump in the road as illustrated.…

A: Given data:The mass of the object = 500 kgSpeed = 45 m/sThe static deflection of the suspension =…

Q: QI/ A car moves abong a straight line with an accekration ( a = 4V ). When t-0 kcad to S = 0, V = 2,…

Q: A particle moving along the s-axis has a velocity given by v = 22.3 -3.7t² ft/sec, where t is in…

Q: A car P travels along a straight road with a constant speed v = 64 mi/hr. At the instant when the…

A: velocity To find:Velocity component in radial and tangential direction.

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

A motorcycle travels along a straight line with a
velocity [ v = ( 2t² – 8 ) m/s ], where ( t ) is in seconds.
When ( t = 1 s ), the motorcycle is located ( 10 m ) to
the right of the origin. Determine:
a- The displacement from ( t = 0 ) to ( t = 10 s ).
b- The distance traveled by the motorcycle for the same time interval.
c- The average velocity at this time interval.
d- The average speed at this time interval.
e- The acceleration at ( t = 5 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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 8 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

y (m) 2 intervals. The Figure shows the result of a collision of a 10.00 kg ball with an object located at the origin. The position of the objects are shown at 1.3 s -2 06 يه ® © ® Ⓡ • 0 x (m) + 2 What is the mass of the object that was originally located at the origin? What is the change in the kinetic energy as a result of the collision?
The displacement x of a particle by time is given by the expression x = 4 cos (3.0πt + π) where x is in meters and t is in seconds. Determine the frequency and period of the motion
An electric car is subjected to acceleration tests along a straight and level test track. The resulting v-t data are closely modeled over the first 10 seconds by the function v = 24t - t2 +5t1/2, where t is the time in seconds and v is the velocity in feet per second. Determine the displacement s as a function of time over the interval 0 ≤ t ≤ 10 sec and specify its value at the indicated times.
A fly walks with a speed of 1 cm/sec in every direction of a piece of paperwhich is considered to be xy plane. If the fly walks away from the origin inthe direction of u = i − 7j, the temperature it measures increases at a rateof 3◦C/sec. If the fly walks away from the origin in the direction v = i + j,the temperature it measures decreases at a rate of 2◦C/sec. Find how fast thetemperature changes if the fly moves away from the origin in the positive x axisdirection.
(9t - (45) sin (²)) m, where t The position of a car traveling between two stop signs along a straight city block is given by r = denotes time (in seconds) and where the argument of the sine function is measured in radians. Compute the displacement of the car between 2.45 s and 3.7 s, as well as between 11.1 and 12.7 s. For each of these time intervals compute the average velocity. The displacement of the car between 2.45 and 3.7 s is The displacement of the car between 11.1 and 12.7 s is The average velocity of the car between 2.45 and 3.7 s is The average velocity of the car between 11.1 and 12.7 s is A um. (Round the final answer to four decimal places.) A um. (Round the final answer to two decimal places.) ^ up m/s. (Round the final answer to four decimal places.) A up m/s. (Round the final answer to three decimal places.)
A particle is moving along a straight line such that its acceleration is defined as a = -kv. If v = v, when d = 0 and t = 0, determine the particle's velocity as a function of position and the distance the particle moves before it stops. k = ? vo = 20 Given: av = -kv ds Solution: ap(v) : = -kv 1 dy = -ksp E| n
At time t = 0, the position vector of a particle moving in the x-y plane is r = 4.78i m. By time t = 0.019 s, its position vector has become (4.96i + 0.52j) m. Determine the magnitude Vay of its average velocity during this interval and the angle e made by the average velocity with the positive x- axis. Answers: Vav Ꮎ = = i i m/s
Acceleration of an objects moves straight in a=(2t-1) m/s^2. If s=1 meter, and v=2 m/s when t=0, find the objects velocity and position at t=6 seconds. Find the distance traveled.
2/2 The displacement of a particle is given by s = 30t2 + 100t – 50, where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as 213 – - functions of time for the first 12 seconds of motion. Determine the time at which the velocity is zero.
The position of a particle is given by: x (t) = 16t3.0t³ where x is in meters, and time is in seconds. The particle is momentarily at rest at what time (in seconds)?