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?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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]
Transcribed Image Text: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]
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