SUMMARY
The cheetah can achieve a top speed of 114 km/h (71 mi/h) and accelerates to 85 km/h over a distance of 50 m. To determine the average acceleration during this sprint, one must apply the kinematic equations for uniformly accelerated motion. The average acceleration can be calculated using the formula \( a = \frac{v_f - v_i}{t} \), where \( v_f \) is the final velocity, \( v_i \) is the initial velocity, and \( t \) is the time taken. Additionally, the displacement at t = 3.0 s can be found using the equation \( s = v_i t + \frac{1}{2} a t^2 \).
PREREQUISITES
- Understanding of kinematic equations for uniformly accelerated motion
- Familiarity with unit conversion (e.g., km/h to m/s)
- Basic knowledge of physics concepts such as acceleration and displacement
- Experience using velocity calculators for physics problems
NEXT STEPS
- Learn how to convert units between km/h and m/s for accurate calculations
- Study the kinematic equations in detail, focusing on their application in real-world scenarios
- Practice solving problems involving average acceleration and displacement
- Explore online physics simulators to visualize motion and acceleration
USEFUL FOR
Students studying physics, educators teaching motion concepts, and anyone interested in understanding the dynamics of animal movement.