Calculating Vehicle Distance: Kinematics Question on Brakes

In summary, the conversation is about a driver applying brakes 400m away from a traffic light while moving at 15m/s and retarding at 0.3m/s^2. After 1 minute, the distance from the traffic light is calculated to be 40m. However, the book states the answer is 25m. A teacher suggests calculating the time it takes for the car to stop and using the equations v=u+at and s=ut+1/2at^2 to find the correct distance of 25m.
  • #1
konichiwa2x
81
0
Hi, can someone please check if this is right?

A driver applies brakes on seeing a traffic signal 400m ahead. At the time of applying the brakes, the vehicle was moving with 15m/s and retarding with 0.3m/s^2. What is the distance of the vehicle from the traffic light after 1 minute?

x = 15(60) - 1/2(0.3)(60)^2
x = 360m

Therefore the distance from the traffic light is 40m. Correct?
My book says the answer is 25m. Is it wrong? Any help will be appreciated.Thanks!
 
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  • #2
I can't see anything wrong with your work. Either the book is wrong or we're both reading the question wrong (ie: the driver starts breaking after 1 second and then breaks for a minute)
 
  • #3
konichiwa2x said:
Hi, can someone please check if this is right?

A driver applies brakes on seeing a traffic signal 400m ahead. At the time of applying the brakes, the vehicle was moving with 15m/s and retarding with 0.3m/s^2. What is the distance of the vehicle from the traffic light after 1 minute?

x = 15(60) - 1/2(0.3)(60)^2
x = 360m

Therefore the distance from the traffic light is 40m. Correct?
My book says the answer is 25m. Is it wrong? Any help will be appreciated.Thanks!

hey BOY,
SEE the driver has applied brakes so just calculate the time the car ll take to stop by the eq. v=u+at.Then just calc the dis by eq s=ut+1/2at^2...the dis ll be 375m.so dis from traffic light is 400-375 i.e 25 m dear.
PARAS sir
SUNITI CLASSES
for further assistance contact:09810855099
 

Related to Calculating Vehicle Distance: Kinematics Question on Brakes

1. What is kinematics in relation to brakes?

Kinematics is a branch of physics that deals with the motion of objects without taking into account the forces that cause the motion. In relation to brakes, it involves studying the movement of the vehicle when the brakes are applied.

2. How do brakes affect the motion of a vehicle?

When brakes are applied, they create a frictional force on the wheels of the vehicle, which causes them to slow down and eventually come to a stop. This affects the motion of the vehicle by decreasing its speed and changing its direction.

3. What factors affect the effectiveness of brakes?

The effectiveness of brakes is influenced by several factors, including the condition and type of brake pads, the weight and speed of the vehicle, and the road conditions. Additionally, the design and maintenance of the braking system also play a role in its effectiveness.

4. How does the speed of a vehicle affect the braking distance?

The speed of a vehicle has a direct impact on the braking distance, which is the distance the vehicle travels while the brakes are applied until it comes to a complete stop. The higher the speed, the longer the braking distance will be. This is because the vehicle has more momentum that needs to be overcome by the braking force.

5. What is the difference between kinetic and static friction in relation to brakes?

Kinetic friction is the force that opposes the motion of two surfaces that are in contact and are moving relative to each other, such as the brake pads and the wheels of a vehicle. Static friction, on the other hand, is the force that prevents two surfaces from sliding against each other when there is no relative motion. In relation to brakes, kinetic friction is the force that helps slow down the vehicle, while static friction is what keeps the wheels from slipping while the brakes are applied.

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