1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -4 m, and the initial velocity is vo= 3 m/s. (5 points) 2. The acceleration of a particle is given by a = -ks² where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 5 m if k = 0.1 m¹s² and the initial conditions at time t = 0 are so= 3 m and vo= 10 m/s. (5 points) 3. The acceleration of a particle which is moving along a straight line is given by a = -k√, where a is in meters per second squared, k is a constant, and v is the velocity in meters per second. Determine the velocity as a function of both time t and position s. Evaluate your expressions for t = 2 sec and at s = 3 m if k = 0.2 m² ¹/2-3/2 and the initial conditions at time t = 0 are so = 1 m and Vo = 7 m/s. (5 points)
1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -4 m, and the initial velocity is vo= 3 m/s. (5 points) 2. The acceleration of a particle is given by a = -ks² where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 5 m if k = 0.1 m¹s² and the initial conditions at time t = 0 are so= 3 m and vo= 10 m/s. (5 points) 3. The acceleration of a particle which is moving along a straight line is given by a = -k√, where a is in meters per second squared, k is a constant, and v is the velocity in meters per second. Determine the velocity as a function of both time t and position s. Evaluate your expressions for t = 2 sec and at s = 3 m if k = 0.2 m² ¹/2-3/2 and the initial conditions at time t = 0 are so = 1 m and Vo = 7 m/s. (5 points)
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Transcribed Image Text:Problems 1 through 3, treat the motion of a particle which moves along the s-axis shown in
the figure.
0
1 2 3
+s, ft or m
1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared and
t is in seconds. Determine the velocity and displacement as functions of time. The initial
displacement at t = 0 is so = -4 m, and the initial velocity is vo= 3 m/s. (5 points)
2. The acceleration of a particle is given by a = -ks² where a is in meters per second squared, k is a
constant, and s is in meters. Determine the velocity of the particle as a function of its position s.
Evaluate your expression for s = 5 m ifk = 0.1 m¹s2 and the initial conditions at time t = 0 are so=
3 m and vo= 10 m/s. (5 points)
3. The acceleration of a particle which is moving along a straight line is given by a = -k√√v, where a
is in meters per second squared, k is a constant, and v is the velocity in meters per second.
Determine the velocity as a function of both time t and position s. Evaluate your expressions for
t = 2 sec and at s = 3 m if k = 0.2 m 1/25-3/2 and the initial conditions at time t = 0 are so = 1 m and
Vo = 7 m/s. (5 points)
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