The height y and distance x along the horizontal

Asked by admin @ in Math viewed by 329 People

The height y and distance x along the horizontal for a body projected in the xy plane are given by y=8t-5t^2 and x= 6t . The initial speed of projection is ?.

Answered by admin @


Y = 8t - 5t²
differentiate wrt time
dy/dt = 8 -10t

we know, change in position per unit time is called , velcity .
e.g dy/dt = Vy

Vy = 8 -10t
now at t = 0 ( initially )
Vy =8 -10× 0 = 8

x = 6t
differentiate wrt time
dx/dt = 6
similarly , dx/dt = Vx =6

now,
V = Vx i + Vy j
= 8 i + 6 j

magnitude of velocity =| V | =√(8² + 6²) =10 m/s

Similar Questions

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin θ

Asked by maham237 @ in Mathematics viewed by 448 persons

Origin only x-axis only y-axis only No symmetry

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ

Asked by maham237 @ in Mathematics viewed by 409 persons

r = 2 cos 5θ How do we know? Can you share the explanation/steps?

Two particles are separated by a horizontal distance x

Asked by admin @ in Physics viewed by 310 persons

197. Two particles are separated by a horizontal distance x as shown in figure. They are projected as shownin figure with different initial speeds. The time afterwhich the …

Solve the system by elimination x+5y-4z=-10

Asked by maham237 @ in Mathematics viewed by 361 persons

2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5, -2x+3y-z=-10. . . 3. A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost …

Which represents the reflection of f(x) = over the y-axis?

Asked by maham237 @ in Mathematics viewed by 354 persons

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Asked by maham237 @ in Mathematics viewed by 387 persons

Which represents the reflection of f(x) = \sqrt{x} over the y-axis?

Asked by maham237 @ in Mathematics viewed by 470 persons

In the equation y=ab^(x-h)+k how does

Asked by maham237 @ in Mathematics viewed by 376 persons

the value of k affect the graph

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

Asked by wiki @ in Mathematics viewed by 407 persons

Is x y a solution to the system of equations

Asked by admin @ in Mathematics viewed by 337 persons

Algebra 1 > 1.1 Is (x, y) a solution to the system of equations? LRL Is (1, 3) a solution to this system of equations? 3x + 5y = 18 17x …

How to find x and y intercepts of rational functions

Asked by admin @ in Mathematics viewed by 334 persons

How do we find x-intercept of rational function

Equation of a line with x intercept and y intercept

Asked by admin @ in Mathematics viewed by 353 persons

Find an equation of the line with x-intercept 8 and y-intercept 4

Find the x intercept and y intercept of the line

Asked by admin @ in Mathematics viewed by 305 persons

find the x- and y-intercept of the line. 5x – 4y = 40 a. x-intercept is –4; y-intercept is 5. b. x-intercept is –10; y-intercept is 8. c. x-intercept is …

Finding the x and y intercepts of a rational function

Asked by admin @ in Mathematics viewed by 348 persons

Task 3—Graphing Rational Functions Create a rational function with a linear binomial in both the numerator and denominator. -Part 1. Graph your function using technology. Include the horizontal and vertical …

How to find the equation with x and y intercepts

Asked by admin @ in Mathematics viewed by 346 persons

literally 30 points !!!!! How do you find the x- and y-intercepts of an equation? To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for …

Most viewed questions in Math

What is the value of x in the expression

Asked by admin @ in Math viewed by 15183 persons

Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12991 persons

Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12060 persons

Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11536 persons

Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11513 persons

The town of p is located at point x

Asked by admin @ in Math viewed by 11365 persons

A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10179 persons

Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9398 persons

Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9357 persons

The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7529 persons

The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7408 persons

In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7211 persons

What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5283 persons

Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4809 persons

Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4185 persons