As you walk to class with a constant speed of 1.65m/s , you are moving in a direction that is 18.8∘ north of east.
How much time does it take to change your displacement by 21.0m east?
speed east = 1.65 cos 18.8
t = 21.0 / ( 1.65 cos 18.8 )
13.44
Vpg = 1.65 m/s
To calculate the time it takes to change your displacement by 21.0m east, we can use the formula:
time = distance / speed
In this case, the distance is 21.0m, and the speed is given as 1.65m/s.
However, since you are moving in a direction that is 18.8∘ north of east, we need to consider the component of your motion that is in the eastward direction.
To find the eastward component of your motion, we can use the formula:
eastward component = speed * cos(angle)
In this case, the angle is 18.8∘ and the speed is 1.65m/s.
Using a calculator, calculate the cosine of 18.8∘ and then multiply it by the speed to find the eastward component.
Once you have the eastward component of your motion, you can use it along with the distance to calculate the time.
Substitute the values into the formula:
time = distance / eastward component
Finally, calculate the time to find the answer.