A driver runs to the south at 20 m / s for 3 min, then
turns west and runs to 25 m / s for 2 min, and finally
turns to the northwest at 30 ni / s for I min.
Find in this movement, 6 min, (a) the displacement vector
the driver, (b) the speed climb and the average driver
(C) the average speed of the driver.
I = I if t = 3s?
This is a problem in vector addition, but you have made a number of typing errors in the question and I am not going to try to guess what you meant.
examples;
speed climb; ni/s; average driver;
I = I ; which 3 seconds (last part)
sorry !!
A driver runs to the south at 20 m / s for 3 min, then
turns west and runs to 25 m / s for 2 min, and finally
turns to the northwest at 30 ni / s for I min.
Find in this movement, 6 min, (a) the displacement vector
the driver, (b) the speed climb and the average driver
(C) the average speed of the driver.
A little red wagon is pulled with a force of 50 Newtons at a constant velocity. Wha isthe force of friction acting on the cart?
To solve this problem, we can break down the driver's movements into different components and then calculate the answers accordingly.
First, let's calculate the displacement vector of the driver. We'll consider the displacement in the x and y directions separately.
(a) Displacement vector:
To find the displacement vector, we need to calculate the individual displacements in the x and y directions and then combine them.
Given:
- South: 20 m/s for 3 min
- West: 25 m/s for 2 min
- Northwest: 30 m/s for 1 min
Displacement in the x direction:
To calculate the x displacement, we only need to consider the west and northwest movements since the south movement does not affect the x direction.
- West: 25 m/s for 2 min = 25 m/s * 2 min = 50 m to the west
- Northwest: 30 m/s for 1 min = 30 m/s * 1 min = 30 m to the northwest (which is both west and north)
So, the total displacement in the x direction is 50 m to the west + 30 m to the northwest = 50 m west + 30 m northwest = 50 m west - 30 m south = 20 m west - 30 m south.
Displacement in the y direction:
To calculate the y displacement, we only need to consider the south and northwest movements since the west movement does not affect the y direction.
- South: 20 m/s for 3 min = 20 m/s * 3 min = 60 m south
- Northwest: 30 m/s for 1 min = 30 m/s * 1 min = 30 m northwest (which is both west and north)
So, the total displacement in the y direction is 60 m south + 30 m northwest = 60 m south + 30 m west + 30 m north.
Combining the x and y displacements, we get the displacement vector of the driver:
Displacement vector = (20 m west - 30 m south) + (30 m west + 60 m south + 30 m north)
= 50 m west + 30 m north
(b) Speed climb:
The speed climb refers to the magnitude of the displacement vector, which can be calculated using the Pythagorean theorem.
Speed climb = sqrt((x displacement)^2 + (y displacement)^2)
Speed climb = sqrt((50 m)^2 + (30 m)^2)
= sqrt(2500 m^2 + 900 m^2)
= sqrt(3400 m^2)
≈ 58.31 m
(c) Average speed of the driver:
The average speed is calculated by dividing the total distance traveled by the total time taken.
Total distance traveled:
- South: 20 m/s for 3 min = 20 m/s * 3 min = 60 m
- West: 25 m/s for 2 min = 25 m/s * 2 min = 50 m
- Northwest: 30 m/s for 1 min = 30 m/s * 1 min = 30 m
Total distance traveled = 60 m + 50 m + 30 m = 140 m
Average speed = Total distance traveled / Total time taken
Average speed = 140 m / 6 min = 23.33 m/min
(d) Average velocity of the driver:
Average velocity takes into account both the magnitude and direction of the displacement vector. In this case, the displacement vector was 50 m west + 30 m north, so the average velocity can be written as 50 m west + 30 m north divided by the total time taken of 6 min.
Dividing the vector by time, we can use the proportionality rule to split it into x and y components:
Average velocity = (50 m west + 30 m north) / 6 min
Average velocity (x component) = 50 m / 6 min ≈ 8.33 m/min west
Average velocity (y component) = 30 m / 6 min = 5 m/min north
Therefore, the average velocity of the driver is approximately 8.33 m/min west + 5 m/min north.
Regarding the "I = I if t = 3s?" part of the question, it's unclear what I refers to. Could you please clarify it?