Question

97.Сколько времени потребуется автомобилю,чтобы проехать путь s=40 м,если он начинает движение из состояния покоя с постоянным ускорением a=2 м/с2?Какой скорости он при этом достигнет?

Answer 1

S=at^2/2
40=t^2
t=√40=2√10

Answer 2

Calculation of Time and Velocity

To calculate the time it takes for the car to travel a distance of 40 m with a constant acceleration of 2 m/s^2 and the velocity it reaches during this time, we can use the equations of motion.

The equation that relates distance, initial velocity, time, and acceleration is:

s = v0 * t + (1/2) * a * t^2 where: - s is the distance traveled (40 m), - v0 is the initial velocity (0 m/s, as the car starts from rest), - t is the time taken, - a is the acceleration (2 m/s^2).

We can rearrange the equation to solve for time:

t = sqrt((2 * s) / a) Substituting the given values, we get:

t = sqrt((2 * 40) / 2) = sqrt(80) ≈ 8.94 seconds

Therefore, it will take approximately 8.94 seconds for the car to travel a distance of 40 m.

To find the velocity the car reaches during this time, we can use the equation:

v = v0 + a * t Substituting the given values, we get:

v = 0 + 2 * 8.94 ≈ 17.88 m/s

Therefore, the car will reach a velocity of approximately 17.88 m/s.

Please note that these calculations assume constant acceleration and no other external factors affecting the motion of the car.