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In this lesson, we will learn how to use an object's initial and final velocities and the object's displacement to define acceleration by using the formula v² = u² + 2as.

Q1:

A train is traveling at 15 m/s and then accelerates at 0.5 m/s^{2} while traveling 750 m in the direction of its acceleration.

What is the train’s speed after accelerating? Answer to one decimal place.

For how long does the train accelerate? Answer to one decimal place.

Q2:

A jet aircraft’s engines accelerate it at an average rate of 0.6 m/s^{2} as it travels the length of a 3 6 0 0 m long runway. If the aircraft was stationary at the beginning of the runway, what is the aircraft’s speed at the end of the runway, to the nearest meter per second?

Q3:

A ball rolls down a slope and increases its speed, as shown in the diagram. The ball’s speed does not decrease as it rolls horizontally.

What is the average acceleration of the ball along the slope? Round your answer to two decimal places.

How many seconds after 𝑡 = 0 s does the ball reach a point 25 m horizontally away from the base of the slope? Assume that the horizontal speed of the ball is the same as the ball’s speed at the base of the slope. Round your answer to one decimal place.

How far does the ball roll along the slope? Round your answer to two decimal places.

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