At time t = 0, a car moving along the +-axis passes through a = 0 with a constant velocity of magnitude vo. At some timelater, t₁, it starts to slow down. The acceleration of the car as a function of time is given by:a2 (t) = { e(t_t₁)-c(t0 ≤ t ≤t₁t₁ < t < t₂where c is a positive constants in SI units, and t₁ < t ≤ t₂ is the given time interval for which the car is slowing down. Thegoal of the problem is to find the car's position as a function of time between t₁ < t < t2.Express your answers to the following questions using the following as needed: v_ for vo, t_1 for t₁, c, t.(Part a). What is v (t), the velocity of the car as a function of time during the time interval 0 ≤ t ≤t₁?v (t) =(Part b). What is x (t), the position of the car as a function of time during the time interval 0 ≤ t ≤ t₁? x (t) =(Part c). What is v (t), the velocity of the car as a function of time during the time interval t₁ < t

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Description: At time t = 0, a car moving along the +-axis passes through a = 0 with a constant velocity of magnitude vo. At some timelater, t₁, it starts to slow down. The acceleration of the car as a function of time is given by:a2 (t) = { e(t_t₁)-c(t0 ≤ t ≤t₁t

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At time t = 0, a car moving along the +-axis passes through a=0 with a constant velocity of magnitude vo. At some time later, t₁, it starts to slow down. The acceleration of the car as a function of time is given by: a(t) = { c(t-tr) where c is a positive constants in SI units, and t₁ < t < t₂ is the given time interval for which the car is slowing down. The goal of the problem is to find the car's position as a function of time between t₁ < t

At time t = 0, a car moving along the +-axis passes through a=0 with a constant velocity of magnitude vo. At some time later, t₁, it starts to slow down. The acceleration of the car as a function of time is given by: a(t) = { c(t-tr) where c is a positive constants in SI units, and t₁ < t < t₂ is the given time interval for which the car is slowing down. The goal of the problem is to find the car's position as a function of time between t₁ < t

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At time t = 0, a car moving along the +-axis passes through a = 0 with a constant velocity of magnitude vo. At some time
later, t₁, it starts to slow down. The acceleration of the car as a function of time is given by:
a
2 (t) = { e(t_t₁)
-c(t
0 ≤ t ≤t₁
t₁ < t < t₂
where c is a positive constants in SI units, and t₁ < t ≤ t₂ is the given time interval for which the car is slowing down. The
goal of the problem is to find the car's position as a function of time between t₁ < t < t2.
Express your answers to the following questions using the following as needed: v_ for vo, t_1 for t₁, c, t.
(Part a). What is v (t), the velocity of the car as a function of time during the time interval 0 ≤ t ≤t₁?
v (t) =
(Part b). What is x (t), the position of the car as a function of time during the time interval 0 ≤ t ≤ t₁? x (t) =
(Part c). What is v (t), the velocity of the car as a function of time during the time interval t₁ < t <t₂?
v (t) =
=
(Part d). What is x (t), the position of the car as a function of time during the time interval t₁ < t < t₂?
x (t)
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