Q2: A commuter backs her car out of her garage with an acceleration of 1.40 m/s*. (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration?
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.
![Chapter 2 - HW
Q2: A commuter backs her car out of her garage with an acceleration of 1.40 m/s. (a) How long
does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is
her deceleration?
Q3 : A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is
2.10 x 10* m/s? and 1 85 ms (1ms =10s) elapses from the time the ball first touches the mitt
until it stops, what was the initial velocity of the ball?
Q4: A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average
rate of 6.20 x 10° m/s for 8.10x10 s. What is its muzzle velocity (that is, its final velocity)?
Q5 : While entering a freeway, a car accelerates from rest at a rate of 2.40 m/s for 12.0 s. (a)
Draw a sketch of the situation. (b) List the knowns in this problem. (c) How far does the car
travel in those 12.0 s? To solve this part, first identify the unknown, and then discuss how you
chose the appropriate equation to solve for it. After choosing the equation, show your steps in
solving for the unknown, check your units, and discuss whether the answer is reasonable. (d)
What is the car's final velocity? Solve for this unknown in the same manner as in part (c),
showing all steps explicitly.
Q6 : At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s
(a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the
result. Does it make sense?
Q7: Freight trains can produce only relatively small accelerations and decelerations. (a) What is
the final velocity of a freight train that accelerates at a rate of 0.0500 m/s for 8.00 min, starting
with an initial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550 m/s*, how
long will it take to come to a stop from this velocity? (c) How far will it travel in each case?
Q8: A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250
m. (a) How long did the acceleration last? (b) Calculate the acceleration.
Q9 : A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If
the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average
rate of 0.350 m/s, how far will it travel before becoming airborne? (b) How long does this take?
Q10 : An express train passes through a station. It enters with an initial velocity of 22.0 m/s and
decelerates at a rate of 0.150 m/s as it goes through. The station is 210 m long. (a) How long is
the nose of the train in the station? (b) How fast is it going when the nose leaves the station? (c)
If the train is 130 m long, when does the end of the train leave the station? (d) What is the
velocity of the end of the train as it leaves?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e10edb0-4622-4127-a26a-7836b5396e3c%2F57dc553b-4568-46d2-85c1-23c949032b7d%2Fwyaxbwg_processed.jpeg&w=3840&q=75)
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