1. The equation of motion of a moving object is: x(t) = 50 - 40t + 2t²-½ t³ dx a) Write the equations for velocity, v(t), and acceleration, a(t). V(+) = 2 attf dv at =4-2+ T=^X =X₂-X₁ st +2-ti - b) Find the times at which x, v, and a have their maximum values. c) Find the average velocity between t=2 sec and t=5 sec. d) Find the average acceleration between t = 2 sec and t = 5 sec. =-40+4+-+² ama as
1. The equation of motion of a moving object is: x(t) = 50 - 40t + 2t²-½ t³ dx a) Write the equations for velocity, v(t), and acceleration, a(t). V(+) = 2 attf dv at =4-2+ T=^X =X₂-X₁ st +2-ti - b) Find the times at which x, v, and a have their maximum values. c) Find the average velocity between t=2 sec and t=5 sec. d) Find the average acceleration between t = 2 sec and t = 5 sec. =-40+4+-+² ama as
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Transcribed Image Text:x(t) = 50 - 40t + 2t² - ½ t3³
dx
a) Write the equations for velocity, v(t), and acceleration, a(t). V(t) = 24
alt=4-2+ √= AX = X₂-X₁
dv
st
+2-ti
1. The equation of motion of a moving object is:
=
b) Find the times at which x, v, and a have their maximum values.
c) Find the average velocity between t-2 sec and t=5 sec.
d) Find the average acceleration between t = 2 sec and t = 5 sec.
=-40+4+-+²
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