Q.38

Expert-verifiedFound in: Page 200

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A projectile with initial velocity experiences the variable force , where is in .

a. What is the projectile’s speed at s?

b. At what instant of time is the projectile moving parallel to theaxis?

a). The projectile's speed at is .

b). The projectile moving parallel to the axis at .

We are given the force in two dimensions in the form

.

is the mass of the projectile

Initial velocity

Let's find the acceleration for component and :

According to Newton's law, the power exerted on a object creates its accelerates and this force equal to the mass:

Therefore,

Let's compute the final velocity as follow:

For the horizontal component:

For the vertical component:

Place the and values in the given equation:

Therefore,

The projectile's speed at is .

We are given the force in two dimensions in the form

.Let's apply the equation of horizontal component to find the time:

Simplify,

The projectile moving parallel to the axis at .

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