Question

Автомобиль с хорошими шинами может иметь ускорение а = 5 м/с2. какое время потребуется для разгона автомобиля до скорости υ = 60 км/ч? Каков путь разгона в этом случае?

Answer 1

A=5 m/s²
V=60 km/h=16.7 m/s
V₀=0 km/h=0 m/s
t-?
S-?

$a= \frac{V- V_{0} }{t}$
$5= \frac{16.7-0}{t} = \frac{16.7}{t}$
$t=3.34 s$
$S= V_{0} t+ \frac{at^2}{2}$
$S=0+ \frac{5*3.34^2}{2}=27.9 m$

Answer 2

Calculation of Time and Distance for Acceleration

To calculate the time and distance required for a car to accelerate to a speed of υ = 60 km/h with an acceleration of a = 5 m/s^2, we can use the following formulas:

Time (t) = (Final Velocity - Initial Velocity) / Acceleration Distance (s) = (Initial Velocity * Time) + (0.5 * Acceleration * Time^2)

Let's plug in the given values and calculate the time and distance.

Given: Initial Velocity (u) = 0 m/s (assuming the car starts from rest) Final Velocity (υ) = 60 km/h = 16.67 m/s Acceleration (a) = 5 m/s^2

Calculating Time: Using the formula: t = (υ - u) / a

Substituting the values: t = (16.67 - 0) / 5 t = 3.334 seconds

Therefore, it will take approximately 3.334 seconds for the car to accelerate to a speed of 60 km/h.

Calculating Distance: Using the formula: s = (u * t) + (0.5 * a * t^2)

Substituting the values: s = (0 * 3.334) + (0.5 * 5 * (3.334)^2) s = 0 + 0.5 * 5 * 11.113556 s = 27.78389 meters

Therefore, the distance required for the car to accelerate to a speed of 60 km/h is approximately 27.78 meters.

Please note that these calculations assume constant acceleration throughout the entire acceleration phase and neglect factors such as air resistance and rolling resistance.