11.6 The motion of a particle is defined by the relation x = t– 9 + 24t 8, where x and t are expressed in inches and seconds, respectively. Determine (a) when the velocity is zero, (b) the posi- tion and the total distance traveled when the acceleration is zero.

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Please answer 11.6 only with clear and complete solutions. Thank you
11.5 The motion of a particle is defined by the relation x =
12t + 3t +3, where r and t are expressed in meters and seconds,
respectively. Determine the time, the position, and the velocity
when a = 0.
6 – 27
11.6 The motion of a particle is defined by the relation r =
24t
8, where x and t are expressed in inches and seconds,
respectively. Determine (a) when the velocity is zero, (b) the posi-
tion and the total distance traveled when the acceleration is zero.
11.7 The motion of a particle is defined by the relation r
24t + 4, where r is expressed in meters and t in seconds. Deter-
mine (a) when the velocity is zero, (b) the position and the total
distance traveled when the acceleration is zero.
= 2 - 15
+.
71.8 The motion of a particle is defined by the relation r = -6-
36r
40, where r and t are expressed in feet and seconds, respec-
tively. Determine (a) when the velocity is zero, (b) the velocity, the
acceleration, and the total distance traveled when x = 0.
11.9 The brakes of a car are applied, causing it to slow down at a rate
of 10 f/s. Knowing that the car stops in 300 ft, determine (a) how
fast the ear was traveling immediately before the brakes were
applied, (b) the time required for the car to stop.
11.10 The acceleration of a paurticle is directly proportional to the time t.
16 in./s. Knowing
1 s, determine
At t = 0, the velocity of the particle is e
that c
the velocity, the position, and the total distance traveled when
r = 7 s.
15 in./s and that x
20 in. whent
Transcribed Image Text:11.5 The motion of a particle is defined by the relation x = 12t + 3t +3, where r and t are expressed in meters and seconds, respectively. Determine the time, the position, and the velocity when a = 0. 6 – 27 11.6 The motion of a particle is defined by the relation r = 24t 8, where x and t are expressed in inches and seconds, respectively. Determine (a) when the velocity is zero, (b) the posi- tion and the total distance traveled when the acceleration is zero. 11.7 The motion of a particle is defined by the relation r 24t + 4, where r is expressed in meters and t in seconds. Deter- mine (a) when the velocity is zero, (b) the position and the total distance traveled when the acceleration is zero. = 2 - 15 +. 71.8 The motion of a particle is defined by the relation r = -6- 36r 40, where r and t are expressed in feet and seconds, respec- tively. Determine (a) when the velocity is zero, (b) the velocity, the acceleration, and the total distance traveled when x = 0. 11.9 The brakes of a car are applied, causing it to slow down at a rate of 10 f/s. Knowing that the car stops in 300 ft, determine (a) how fast the ear was traveling immediately before the brakes were applied, (b) the time required for the car to stop. 11.10 The acceleration of a paurticle is directly proportional to the time t. 16 in./s. Knowing 1 s, determine At t = 0, the velocity of the particle is e that c the velocity, the position, and the total distance traveled when r = 7 s. 15 in./s and that x 20 in. whent
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