Question

The Tesla Model S Electric vehicle can go from 0 to 60 mi/hr (26.8 m/s) in only 1.9 seconds! How far does it move from rest until it reaches 60 mi/hr? Round your answer to the nearest whole meter.

Answer 1

The Tesla moves approx. 25 meters from rest before reaching 60 mi/hr

Step-by-step explanation:

Given:

Initial velocity = 0 m/s

Final velocity = 26.8 m/s

Time = 1.9 seconds

Acceleration = change in velocity/time

`a = (26.8)/(1.9)`

The equation to find displacement (Δx) with given starting and final velocity, time, and acceleration is:

`x = x_(0) + v_(0)t + (1)/(2) at^(2)`

Starting position and initial velocity both equal 0, so

`x = (1)/(2) at^(2)`

`x=(1)/(2) ((26.8)/(1.9))(1.9)^(2)`

x = 25.46m

Rounded to the nearest whole number, x = 25m