Question

An object moves along the x-axis according to the equation x = 2.95t^2 - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 3.30 s and t = 5.30 s. = ___ m/s (b) Determine the instantaneous speed at t = 3.30 s. = _ m/s Determine the instantaneous speed at t = 5.30 s. = _ m/s (c) Determine the average acceleration between t = 3.30 s and t = 5.30 s. = _ m/s^2 (d) Determine the instantaneous acceleration at t = 3.30 s. = _ m/s^2 Determine the instantaneous acceleration at t = 5.30 s. = _ m/s^2 (e) At what time is the object at rest? = ___ s

          An object moves along the x-axis according to the equation 
x = 2.95t^2 - 2.00t + 3.00,
where x is in meters and t is in seconds.
(a) Determine the average speed between t = 3.30 s and t = 5.30 s.
= _____ m/s
(b) Determine the instantaneous speed at t = 3.30 s.
= _____ m/s
Determine the instantaneous speed at t = 5.30 s.
= _____ m/s
(c) Determine the average acceleration between t = 3.30 s and t = 5.30 s.
= _____ m/s^2
(d) Determine the instantaneous acceleration at t = 3.30 s.
= _____ m/s^2
Determine the instantaneous acceleration at t = 5.30 s.
= _____ m/s^2
(e) At what time is the object at rest?
= _____ s

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Added by Keith C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

09/11/2022

Step 1

30 s and t = 5.30 s using the formula: average speed = (x at 5.30 s - x at 3.30 s) / (5.30 s - 3.30 s) Given x = 2.95t^2 - 2.00t + 3.00, plug in t = 5.30 s: x at 5.30 s = 2.95(5.30)^2 - 2.00(5.30) + 3.00 x at 5.30 s = 75.27 Plug in t = 3.30 s: x at 3.30 s = Show more…

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An object moves along the x-axis according to the equation x = 2.95t^2 - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 3.30 s and t = 5.30 s. = _____ m/s (b) Determine the instantaneous speed at t = 3.30 s. = _____ m/s Determine the instantaneous speed at t = 5.30 s. = _____ m/s (c) Determine the average acceleration between t = 3.30 s and t = 5.30 s. = _____ m/s^2 (d) Determine the instantaneous acceleration at t = 3.30 s. = _____ m/s^2 Determine the instantaneous acceleration at t = 5.30 s. = _____ m/s^2 (e) At what time is the object at rest? = _____ s

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