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A ball is thrown vertically upwards with an initial velocity of 15 m/s. Calculate the maximum height it reaches before falling back down. Assume acceleration due to gravity is -9.81 m/s².

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

exam_style

Style

Topic

Force, energy and momentum

Exam-style question

Try this first

A ball is thrown vertically upwards with an initial velocity of 15 m/s. Calculate the maximum height it reaches before falling back down. Assume acceleration due to gravity is -9.81 m/s².

Model answer

What a good answer should say

  • The maximum height reached by the ball is 11.5 m.

Explanation

Why this works

This question assesses the application of uniform acceleration equations in a vertical motion context. The formula used is v² = u² + 2as, where the final velocity at the maximum height is 0.

The substitution and working demonstrate how to find the height.

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