A/1) In projectiles, why does a particle reach a velocity of zero? And at what height? Prove it mathematically. Assume that we have an ideal conditions of motion. Take the initial velocity of launching to be v at angle θ from the ground as shown in figure. A/2) One day, you were driving a car at a speed of 73.2 km/h and your eyes closed suddenly for a 0.4 sec. How far does the car move during that time in minutes?

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Chapter1: Units, Trigonometry. And Vectors
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A/1) In projectiles, why does a particle reach a

velocity of zero? And at what height? Prove it

mathematically. Assume that we have an ideal

conditions of motion. Take the initial velocity

of launching to be v at angle θ from the ground

as shown in figure.

A/2) One day, you were driving a car at a speed of 73.2 km/h and your eyes closed

suddenly for a 0.4 sec. How far does the car move during that time in minutes?

 

Note: Please answer sections A and B

Expert Solution
Step 1

(A) Given,

Initial velocity = v

Physics homework question answer, step 1, image 1

Step 2

When the particle reaches its maximum height, then vertical component of its velocity becomes zero.

This is because acceleration in vertical direction is acting downwards and opposite to motion of particle. So, gravity retards the motion of particle and hence its velocity decreases.

Initial vertical component of velocity, Physics homework question answer, step 2, image 1

At height H,Physics homework question answer, step 2, image 2

Acceleration along vertical,  Physics homework question answer, step 2, image 3

Using Physics homework question answer, step 2, image 4,

Physics homework question answer, step 2, image 5

Ans. At height Physics homework question answer, step 2, image 6 vertical velocity of particle is zero.

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