Calculate Velocity and Height: Acceleration and Deceleration Examples

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Gino test-drove a Ferrari F40, achieving a remarkable acceleration of 6.74 m/s², which allows him to reach a velocity of approximately 96.24 km/h after 4 seconds. A rocket, accelerating at 30 m/s², can rise to a height of 240 meters before running out of fuel after 4 seconds, then continuing upward briefly under gravity. Additionally, to stop a car traveling at 50 km/h before reaching a 250m intersection, a constant deceleration is required, which can be calculated based on the stopping distance. The discussion emphasizes the importance of understanding acceleration and deceleration in real-world scenarios. Participants are encouraged to attempt solving these problems to demonstrate their grasp of the concepts.
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1.Gino, an experienced driver, was asked to test-drive the new Ferrari F40 sports
car. This car has a distinction of having the world’s fastest acceleration, which
was measured at 6.74 m/s². Starting at rest, the suddenly pressed his right foot
on the accelerator. After 4 seconds, what is the velocity of Gino’s car in km/h?


2.Starting at rest, a rocket moves vertically upward with an acceleration of 30 m/
s². After 4 seconds, it runs out of fuel and continues to moves upward under the
influence of gravity. How high can the rocket rise?


3.You are driving your car at a constant velocity of 50 km/h when you spot an
intersection 250m away prompting you to step on the brakes. How fast should
your car constantly decelerate in km/h so as to come to full stop just before the
intersection?

thanks.
 
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