Diego runs back and forth along a straight track. During the time interval 0sts 30 seconds, 200 sin Diego's velocity, in feet per second, is modeled by the function v given by v(t) = a) What is the first time, t4, the Diego changes direction? Find Diego's average velocity over the time interval 0sist. b) At time t = 30, how far is Diego from his position at time t = 0?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![Diego runs back and forth along a straight track. During the time interval 0<t< 30 seconds,
200 sin
Diego's velocity, in feet per second, is modeled by the function v given by v(t) =
t+1
a) What is the first time, t1, the Diego changes direction? Find Diego's average velocity over
the time interval 0 stst.
b) At time t = 30, how far is Diego from his position at time t = 0?
c) Find the total distance that Diego runs during the 30 seconds from the time t = 0 to time
t = 30.
d) Let a(t) represent Diego's acceleration during the time interval 0 <t < 30 seconds. Using
correct units, explain the meaning of f" a(t)dt in the context of the problem. Find the value
of " a(t)dt.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdadacd0f-4a52-41ac-902e-8e71a68d7997%2Fde764895-3698-4b40-9093-d27d30ecb981%2Fch2ogl4_processed.png&w=3840&q=75)
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