A motor car accelerate for 10sec to attain a velocity of 20m/s. If continues and then decelerate so that is stop in 20sec. calculate (1) Acceleration (2) Deceleration (3) The Distance
1. a*t = 20 m/s. a*10 = 20, a = 2m/s^2.
2. V = Vo + a*t = 0. 20 + a*20 = 0, a = -1.0 m/s^2.
3. d1 = 0.5a*t^2 = 0.5*2*10^2 = 100 m.
V^2 = Vo^2 + 2a*d2 = 0.
20^2 + (-2)*d2 = 0, d2 = ?.
d = d1 + d2.
what does "If continues' MEAN?
I need the solution for the distance
Please add d1 and d2 to get the distance.
Can YOU solve the simple Eq.. to get d2 ??.
D1 D2
please I need the calculation
To calculate the acceleration, we can use the formula:
Acceleration = (final velocity - initial velocity) / time
From the information given:
- Initial velocity (u) = 0 m/s (as the car starts from rest)
- Final velocity (v) = 20 m/s
- Time (t) = 10 seconds
So, the acceleration can be calculated as:
Acceleration = (20 m/s - 0 m/s) / 10 s
= 2 m/s²
Therefore, the acceleration of the car is 2 m/s².
To calculate the deceleration (also known as negative acceleration), we need to find the rate at which the car slows down. Since the car comes to a stop from its final velocity within a given time, we can use the same formula as for acceleration:
Deceleration = (final velocity - initial velocity) / time
From the information given:
- Initial velocity (u) = 20 m/s (as the car starts decelerating from 20 m/s)
- Final velocity (v) = 0 m/s
- Time (t) = 20 seconds
Using the formula:
Deceleration = (0 m/s - 20 m/s) / 20 s
= -1 m/s²
Note: Here, the negative sign indicates that the car is decelerating or slowing down.
Therefore, the deceleration of the car is 1 m/s².
To calculate the distance covered by the car, we can use the formula:
Distance = (initial velocity + final velocity) / 2 * time
Since the car starts from rest (initial velocity is 0), we only need to consider the final velocity and time.
From the information given:
- Final velocity (v) = 20 m/s
- Time (t) = 10 seconds
Using the formula:
Distance = (0 + 20) / 2 * 10
= 10 m/s * 10 s
= 100 meters
Therefore, the distance covered by the car is 100 meters.