In 1967, New Zealander Burt Munro set the world record for...

In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville Salt Flats in Utah, of $295.38 \mathrm{km} / \mathrm{h}$. The one-way course was $8.00 \mathrm{km}$ long. Acceleration rates are often described by the time it takes to reach $96.0 \mathrm{km} / \mathrm{h}$ from rest. If this time was 4.00 s and Burt accelerated at this rate until he reached his maximum speed, how long did it take Burt to complete the course?

Key Concepts

Piecewise Motion Analysis

Piecewise motion analysis is the technique of breaking down a motion problem into distinct phases—such as an acceleration phase followed by a phase of constant velocity—and then analyzing each phase using the appropriate kinematic principles to obtain an overall solution.

Unit Conversion

Unit conversion involves translating quantities from one set of measurement units to another to maintain consistency in calculations. For example, converting speeds from kilometers per hour to meters per second ensures that all kinematic formulas are applied correctly.

Kinematics

Kinematics is the study of motion without considering its causes. It involves analyzing an object's displacement, velocity, acceleration, and time relationships using mathematical equations, which is essential for solving problems involving multiple motion phases.

Constant Acceleration

Constant acceleration refers to scenarios where an object’s rate of change of velocity remains uniform throughout a period. This simplifies calculations by allowing the use of standard kinematic formulas to determine displacement and time during the acceleration phase.

Equations of Motion

The equations of motion are key formulas that relate displacement, initial velocity, acceleration, and time. They are critical in problems where an object accelerates from rest, such as using s = ut + (1/2)at² to compute the distance covered during acceleration.

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