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stalkerwolf210113
20.09.2020 •
Physics
You are driving down the highway late one night at 20m/s when a deer steps in onto the road 43m in front of you. You reaction time before stepping on the brakes is 0.50s, and the maximum acceleration of your car is 10m/s^2. How much distance is between you and the deer when you come toa stop
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Ответ:
The distance between you and the deer when you come to a stop is 13m
Explanation:
To determine how much distance is between you and the deer when you come to a stop,
First, we will calculate the distance traveled during the reaction time (that is, before stepping on the break)
The velocity at the time is 20 m/s
and the time (reaction time) is 0.5s
From
Then,
Distance = Velocity × Time
Distance = 20 m/s × 0.5 s
Distance = 10 m
This is the distance traveled before stepping on the break.
Now, we will calculate the distance traveled after stepping on the break
The maximum acceleration of the car is 10 m/s²
Initial velocity,
= 20 m/s
Final velocity,
= 0 m/s (Since the car will come to a stop after stepping on the brakes)
Let the distance traveled here be![s](/tpl/images/0771/1292/5e608.png)
From one of the equations of kinematics for linear motion
Where,
is the final velocity
and
is the distance traveled
Putting the values into the equation, we get
Hence, the car traveled for another 20m before coming to a stop
The total distance traveled after the deer steps in onto the road is
10m + 20m
= 30m
Since the deer was at a distance 43m away before coming to a stop after traveling a distance of 30m,
Then, the distance between you and the deer is
43m - 30m
= 13m
Hence, the distance between you and the deer when you come to a stop is 13m
Ответ:
V = 2.58 m/s
Explanation:
Below is the calculation:
Given the weight of Erica = 37 kg
The weight of Danny = 45 kg
Danny's speed to move upward = 4.7 m/s
Use below formula to find the answer.
m1 * u1 = (m1+m2) * V
V = m1*u1 / (m1+m2)
Here, m1 = 45
u1 = 4.7
m1 = 45
m2 = 37
Now plug the values in formula:
V = m1*u1 / (m1+m2)
V = (45*4.7)/(45+37)
V = 2.58 m/s