Solve the following questions. 1. The position of a particular particle as a function of is given by r=(8.5ti+5.6j-2t*k )m (a) Determine the particle's velocity and acceleration as a function of time. (b) Find the instantaneous velocity and acceleration of the particle at t=3.0 s. 2. At t=0, a particle starts from rest and moves in the xy space with an acceleration a=(4 i+6 j)m/s. Determine (a) the velocity and position of the particle as a function of time. (b) evaluate the speed and position of the particle at t=5.0 s. 3. A dog runs 200m away from its master in a straight line in 20 s, and then runs halfway back in one-third the time. Calculate (a) its average speed and (b) its average velocity. 4. Determine the stopping distances for an automobile with an initial speed of 90km/h and human reaction time of 1.0s for an acceleration a=-4.0m/s. 5. A projectile is fired with an initial speed of 50.0 m/s at an angle of 45.0° above the horizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered. 6. Three blocks on a frictionless horizontal surface are in co with each other. A force Fis applied to block 1 (mass m¡). If m¡= m;= m3=10 kg, F=100.0 N, determine (a) the acceleration of the system, (b) the net force on each block, and (c) the force of contact that each block exerts on its neighbor. 7. The block lies on a plane tilted an anangle 0=30° to the horizontal, with µ=0.3. (a) determine the accerlation of the block as it slides down the plane. (b) if the block starts from rest 3 m up the plane from its base, what will be the block's speed when it reaches trhe bottom of the incline?
Solve the following questions. 1. The position of a particular particle as a function of is given by r=(8.5ti+5.6j-2t*k )m (a) Determine the particle's velocity and acceleration as a function of time. (b) Find the instantaneous velocity and acceleration of the particle at t=3.0 s. 2. At t=0, a particle starts from rest and moves in the xy space with an acceleration a=(4 i+6 j)m/s. Determine (a) the velocity and position of the particle as a function of time. (b) evaluate the speed and position of the particle at t=5.0 s. 3. A dog runs 200m away from its master in a straight line in 20 s, and then runs halfway back in one-third the time. Calculate (a) its average speed and (b) its average velocity. 4. Determine the stopping distances for an automobile with an initial speed of 90km/h and human reaction time of 1.0s for an acceleration a=-4.0m/s. 5. A projectile is fired with an initial speed of 50.0 m/s at an angle of 45.0° above the horizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered. 6. Three blocks on a frictionless horizontal surface are in co with each other. A force Fis applied to block 1 (mass m¡). If m¡= m;= m3=10 kg, F=100.0 N, determine (a) the acceleration of the system, (b) the net force on each block, and (c) the force of contact that each block exerts on its neighbor. 7. The block lies on a plane tilted an anangle 0=30° to the horizontal, with µ=0.3. (a) determine the accerlation of the block as it slides down the plane. (b) if the block starts from rest 3 m up the plane from its base, what will be the block's speed when it reaches trhe bottom of the incline?
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Vectors
Section: Chapter Questions
Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
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Transcribed Image Text:Solve the following questions.
1. The position of a particular particle as a function of is given by r=(8.5ti+5.6j-2t*k )m
(a) Determine the particle's velocity and acceleration as a function of time.
(b) Find the instantaneous velocity and acceleration of the particle at t=3.0 s.
2. At t=0, a particle starts from rest and moves in the xy space with an acceleration a=(4 i+6
j)m/s. Determine (a) the velocity and position of the particle as a function of time. (b) evaluate
the speed and position of the particle at t=5.0 s.
3. A dog runs 200m away from its master in a straight line in 20 s, and then runs halfway back in
one-third the time. Calculate (a) its average speed and (b) its average velocity.
4. Determine the stopping distances for an automobile with an initial speed of 90km/h and human
reaction time of 1.0s for an acceleration a=-4.0m/s.
5. A projectile is fired with an initial speed of 50.0 m/s at an angle of 45.0° above the horizontal
on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the
total time in the air, (c) the total horizontal distance covered.
6. Three blocks on a frictionless horizontal surface are in co
with each other. A force Fis
applied to block 1 (mass m¡). If m¡= m;= m3=10 kg, F=100.0 N, determine (a) the acceleration of
the system, (b) the net force on each block, and (c) the force of contact that each block exerts on
its neighbor.
7. The block lies on a plane tilted an anangle 0=30° to the horizontal, with µ=0.3. (a) determine
the accerlation of the block as it slides down the plane. (b) if the block starts from rest 3 m up the
plane from its base, what will be the block's speed when it reaches trhe bottom of the incline?
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