Concept explainers
a. If s = (2t3) m, where t is in seconds, determine v when t = 2 s.
b. If v = (5s) m/s, where s is in meters, determine a at s = 1 m.
c. If v = (4t + 5) m/s, where t is in seconds, determine a when t = 2 s.
d. If a = 2 m/s2, determine v when t = 2 s if v = 0 when t = 0.
e. If a = 2 m/s2, determine v at s= 4 m if v = 3 m/s at s = 0.
f. If a = (s) m/s2, where s is in meters, determine v when s = 5 m if v = 0 at s = 4 m
g. If a = 4 m/s2, determine s when t = 3 s if v = 2 m/s and s = 2 m when t = 0.
h. It a = (8t2) m/s2, determine v when t = 1 s if v = 0 at t = 0.
i. If s = (3t2 + 2) m, determine v when t = 2 s.
j. When t = 0 the particles is at A. In four seconds it travels to B, then in another six seconds it travels to C. Determine the average velocity and the average speed. The origin of the coordinate is at O.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Additional Engineering Textbook Solutions
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
DESIGN OF MACHINERY
Heat and Mass Transfer: Fundamentals and Applications
Manufacturing Engineering & Technology
Statics and Mechanics of Materials (5th Edition)
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
- At a football tryout, a player runs a 40-yard dash in t₂ = 4.60 seconds. If the reaches his maximum speed at the 13-yard mark L₁ with a constant acceleration and then maintains that speed for the remainder of the run, determine his acceleration over the first 13 yards, his maximum speed, and the time duration of the acceleration. t=0 Amswers: His acceleration: His maximum speed: The time duration of the acceleration: a = V = t = i i i ft/sec² ft/sec secarrow_forwardThe motion of a particle is given by the relation a = 6t, where t is in sec and a in m/s2. If s = 8m and v = 4m/s when t = 1s, determine the s – a equation. a. s = (s/a)1/3 + a/6 + 6 b. s = (a/6)3 + a/6 – 1 c. s = (s/a)3 – a/6 + 6 d. none e. s = (a/6)3 + a/6 + 6arrow_forwardif a =(s) m/s2, where s is in meters, determine v when s=5 if v=0 at s = 4marrow_forward
- A body moves along a linear path and its rate of change of velocity varies with time and is written as a=2-3t, where t is the time in second. After 5 second, from start of observation its velocity is determined to be 20 m/s. After 10 second from start of observation, the body is at 85 m far from the origin. Determine the following:a. Rate of change of velocity and velocity at the start of motion.b. Distance from the origin at the start of observationc. Time after start of observation in which the velocity becomes zero.arrow_forward1. When displacement S is given in terms of time t, if S = 2t3 + t? ; meter, determine (a) the velocity when t = 10 sec. (b) the acceleration when t = 5 sec.arrow_forwardt3 – 2t2 + 7 3. The motion of the particle along a straight line is governed by the relation a = where a is the acceleration in m/s² and t is the time in seconds. At time t = A second, the velocity of the particle is v m/s and the displacement is d m. Calculate the displacement, velocity and acceleration at timet = 2 seconds. - A = 1.476 second %3D 14.764 .m/s V = d = 218arrow_forward
- The acceleration of a particle is defined by the relation a = k (1 - ex), where k is a constant. The velocity of the particle is v= +9 m/s when x=- 3 m and it comes to rest at the origin. Determine the value of k. (You must provide an answer before moving on to the next part.) m²/s2. The value of k isarrow_forwardEx.5.2 The position of a particle which moves along a straight line is defined by the relation x = t3 - 6t2 -15t + 40, where x is expressed in m and t in sec. Determine (a) the time at which the velocity will be zero, (b) the position and distance traveled by the particle at that time, (c) the acceleration of the particle at that time, d) the distance traveled by the particle from t= 4 s to t = 6 s. %3Darrow_forward.a Determine the Velocity of Cable at Point C. Note: Block E is moving downward with a velocity of 4m/s. 1.b Determine the Velocity of block W. Note: Block E is moving downward with a velocity of 4m/s. 1.c Determine the Relative Velocity of Point C with respect to Block E. Note: Block E is moving downward with a velocity of 4m/s. 1.d Determine the Relative Velocity of Block W with respect to Block E. Note: Block E is moving downward with a velocity of 4m/s.arrow_forward
- 12. A collar in linkage moves in a straightline. Its motion is described by x = 2t² - 7t + 5, where x is trhe collars position in meters and t is in seconds. Determine the position x, in meters, of the collar when the velocity is zero. a. -1.12 b. -0.925 13. A 50-kg crate was hoisted vertically as shown. If the acceleration, a, was measured to be 1.25 m/s², what is the tension T in newtons? a. 376 b. 409 C. 1.27 d. 1.92 a. 4.9 b. 9.6 c. d. 14. The packaging of an item is subjected to a drop test. If a 5-kg package was lifted to 1.2 m from the ground, stopped, and released, at what velocity, in kph, will it hit the ground? Acceleration due to gravity is 9.81 m/s². 479 553 C. d. 17 24arrow_forwardAt a football tryout, a player runs a 40-yard dash in t2 = 4.45 seconds. If the reaches his maximum speed at the 15-yard mark L1 with a constant acceleration and then maintains that speed for the remainder of the run, determine his acceleration over the first 15 yards, his maximum speed, and the time duration of the acceleration.arrow_forwardA car is travelling at vo = 21 m/s when a passing obstruction is sighted ahead at 120 m. The driver decelerates constantly at 4 m/s² until it is 70 m away from the former location of the obstruction, then accelerates at 3 m/s² for 15 seconds. 1. Find the total distance travelled by the car for the whole duration. m use 2 decimal places m/s use 2. Find the speed when it is 70 m away from the obstruction. 2 decimal places 3. Find the final speed. m/s use 2 decimal placesarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY