A bus is travelling along a straight road at 25 m/s (90 km/h) when the driver sees a deer on the road and slams on the breaks. This causes a constant deceleration (a negative acceleration) of k m/s2. It takes the bus 5 seconds to stop. How far does the bus travel before coming to a stop?
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.
![In this question we will work through the steps to solve this question:
A bus is travelling along a straight road at 25 m/s (90 km/h) when the driver sees a deer on the road and slams on the breaks. This
causes a constant deceleration (a negative acceleration) of k m/s2. It takes the bus 5 seconds to stop. How far does the bus travel
before coming to a stop?
Steps in solution:
Let t= 0 at the moment the bus driver slams on the breaks.
Let v (t) be the velocity of the bus at time t (measured in m/s).
Let s (t) be the position of the bus at time t (measured in meters), and let's choose s (0) = 0.
a) Find v (0) in m/s. [Select]
b) What does "a constant deceleration (a negative acceleration) of k m/s2" mean? [Select]
c) What does "It takes the bus 5 seconds to stop" mean? [Select]
d) Use the information in parts (a)-(c) to find a value for k, and an expression for v (t) [Select]
e) Use the information from (d) as well as s (0) = 0 to find an expression for s (t). [Select]
f) What should you evaluate to determine how far the bus travels before coming to a stop? [Select]
g) Now find the final answer: How far does the bus travel before coming to a stop? [Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa091693b-faa1-47bb-b23e-406dad8eede2%2F9f2aaa38-9264-49c8-99dc-aa79d92f95c7%2Fjoomfy5_processed.jpeg&w=3840&q=75)
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