Find the distance a ball rolls given its initial velocity and a constant rate of deceleration.

Vault Of Euclid

Distance Rolled with Constant Deceleration

Antiderivatives warmup

A ball is rolled in a straight line over a level lawn, with an initial velocity of 10 ft/s. If, because of friction, the velocity decreases at the rate of 4 ft/s\(^2\), how far will the ball roll?

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What you need first

basic integration of polynomials
the relationship between position, velocity, and acceleration

What this problem tests

Tests the ability to set up and solve simple initial value problems by integrating polynomial functions representing physical quantities.

This is a standard introductory application of antiderivatives in a first-semester calculus course, linking mathematics to basic physics.

Distance Rolled with Constant Deceleration

What you need first

What this problem tests

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