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alexandr1967 [171]
3 years ago
14

A student starts from the hostel and goes to his friend's house and then to his school. A is the displacement vector from the ho

stel to his friend's house. B is the displacement vector from his friend's house to school, and C is the direct path from the hostel to school. Which of the following vector operations is correct for the displacement from the hostel to his friend's house?
A) A - B.
B) A + B.
C) C - B.
D) C + B.
Physics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:\vec{C}-\vec{B}

Explanation:

Given

\vec{A} is displacement of student from Hostel to house

\vec{B} is displacement of student from house to school

And \vec{C} is displacement of student from Hostel to school    

According to the triangle law of vector addition  

If two vectors are acting on a body simultaneously that are shown by magnitude and direction by two sides of a triangle taken in order then the third side is the resultant of two vectors that are taken in opposite direction.

\vec{A}+\vec{B}=\vec{C}

\vec{A}=\vec{C}-\vec{B}

so option c is correct

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Total displacement of the car: 405 m

Explanation:

The first part of the motion of the car is a uniformly accelerated motion, so we can use the suvat equation

s_1=ut_1+\frac{1}{2}a_1 t_1^2

where:

u = 0 is the initial velocity (the car starts from rest)

t_1 = 20 s is the time elapsed in the 1st part

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s_1 is the displacement of the car in the 1st part

Solving for s_1,

s_1=0+\frac{1}{2}(1.62)(20)^2=324 m

We can also find the velocity of the car after these 20 seconds using the equation:

v_1 = u +a_1 t_1 = 0 + (1.62)(20)=32.4 m/s

Now we can find the distance covered by the car in the 2nd part, where it decelerates after having seen the tree limb on the road. We can do it by using the suvat equation:

s_2 = (\frac{v_1 + v_2}{2})t_2

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v_1=32.4 m/s is the initial velocity at the beginning of the 2nd phase

v_2=0 is the final velocity (the car comes to a stop)

t_2=5 s is the time elapsed in the 2nd phase

Substituting,

s_2=\frac{32.4+0}{2}(5)=81 m

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s=s_1+s_2=324+81=405 m

Learn more about accelerated motion:

brainly.com/question/9527152

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