Question

The acceleration of a particle is given by a = 4t - 20, 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 s0 = -5 m, and the initial velocity is v0 = -9 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: At t = 1.4 s, s = m, v = m/s At t = 8.7 s, s = m, v = m/s

          The acceleration of a particle is given by a = 4t - 20, 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 s0 = -5 m, and the initial velocity is v0 = -9 m/s. After you have the general expressions, evaluate these expressions at the indicated times.

Answers:

At t = 1.4 s, s =
m, v =
m/s

At t = 8.7 s, s =
m, v =
m/s

The acceleration of a particle is given by a = 4t - 20, 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 s0 = -5 m, and the initial velocity is v0 = -9 m/s. After you have the general expressions, evaluate these expressions at the indicated times.

Answers:

At t = 1.4 s, s =
m, v =
m/s

At t = 8.7 s, s =
m, v =
m/s

Added by Naomi S.

Engineering Mechanics: Dynamics

J. L. Meriam, L. G. Kraige, J. N. Bolton 8th Edition

Chapter 2

Instant Answer

Solved by Expert Timothy James

06/26/2023

Step 1

Since acceleration is the derivative of velocity with respect to time, we can find the velocity function by integrating the acceleration function: a(t) = 4t - 20 To find the velocity function, integrate a(t) with respect to t: v(t) = ∫(4t - 20) dt = 2t^2 - 20t Show more…

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The acceleration of a particle is given by a = 4t - 20 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 s0 = -5 m and the initial velocity is v0 = -9 m/s. After you have the general expressions, evaluate these expressions at the indicated times.