Question

Водій автомобіля, що рухається швидкістю 54 км/год, натискає на педаль гальма і через 5 с автомобіль зупиняється. Визначте прискорення руху автомобіля. Якою буде швидкість руху автомобіля через 2,5 с після початку гальмування?​

Answer 1

Ответ:

Объяснение:

V = 54 км/год = 15м/с

t1 =  5 с

t2 =  2,5 с

a = ?

V2 = ?

0 = V - a*t

a = V/t = 15 / 5 = 3 м/с^2

V2 = V - a*t = 15 - 3*2.5 = 7.5 м/с

Answer 2

Calculation of Acceleration:

To determine the acceleration of the car, we can use the formula:

Acceleration (a) = Change in velocity (Δv) / Time taken (Δt)

Given that the car is initially moving at a speed of 54 km/h and comes to a stop in 5 seconds, we can calculate the acceleration.

Converting the initial speed from km/h to m/s: 54 km/h = 54 * (1000/3600) m/s = 15 m/s

Using the formula, we have: Acceleration (a) = (0 - 15 m/s) / 5 s = -3 m/s^2

Therefore, the acceleration of the car is -3 m/s^2. The negative sign indicates that the car is decelerating or slowing down.

Calculation of Speed after 2.5 seconds:

To determine the speed of the car after 2.5 seconds of braking, we can use the formula:

Final velocity (v) = Initial velocity (u) + (Acceleration (a) * Time taken (t))

Given that the initial velocity is 15 m/s and the acceleration is -3 m/s^2, we can calculate the final velocity.

Using the formula, we have: Final velocity (v) = 15 m/s + (-3 m/s^2 * 2.5 s) = 15 m/s - 7.5 m/s = 7.5 m/s

Therefore, the speed of the car after 2.5 seconds of braking will be 7.5 m/s.