Find the initial velocity of a particle given its constant acceleration and the distance it travels in a specific time interval.

Vault Of Euclid

Finding Initial Velocity from Constant Acceleration and Distance

Antiderivatives warmup

A particle moving along a straight line is accelerating at the rate of 3 ft/s\(^2\). Find the initial velocity if the distance traveled during the first 2 seconds is 10 feet.

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

Basic integration (power rule)
Relationship between position, velocity, and acceleration

What this problem tests

Tests the ability to relate acceleration, velocity, and position through integration, and to use initial conditions and displacement to solve for unknown constants.

This is a standard introductory kinematics problem in Calculus I or basic physics.

Finding Initial Velocity from Constant Acceleration and Distance

What you need first

What this problem tests

More on Antiderivatives