6

A rock is thrown from a height of 2.0 m at a window that is located 9.0 m above the ground. The initial velocity of the rock is

ELEN [110]

Answer:

The value is $x = 11.81 \ m$

Explanation:

From the question we are told that

The height is h = 2.0 m

The height of the window is $d = 9.0 \ m$

The initial velocity of the rock is $u = 20 \ m/s$

The angle at which it is thrown is $\theta = 40$

Generally the vertical component of the velocity of the stone is mathematically represented as

$v_y = 20 sin (40)$

=> $v_y = 12.86 \ m/s$

Generally the height of the window from the ground is mathematically represented as using kinematic equation as

$d = h + v_yt + \frac{1}{2} gt^2$

=> $9 = 2 +12.86 t + \frac{1}{2} * - 9.8 t^2$

Here g is negative -9.8 m/s^2 because the direction of the stone is against gravity

So

$4.9 t^2 -12.86 t + 7 =0$

Solving this quadratic equation using quadratic formula we obtain

t = 0.770 s

Generally the velocity of the stone on the x axis is mathematically represented as

$v_x = 20 * cos(40 )$

=> $v_x = 15.32 \ m/s$

Generally the distance between the person throwing the rock and the window is mathematically represented as

$x = v_x * t$

=> $x = 15.32 * 0.771$

=> $x = 11.81 \ m$

8 0

3 years ago

If you walk a distance of 8 blocks and then 3 blocks south from home, what is your position compared to home? What distance did

Harman [31]

The position compared to that of home is a reference to displacement, I believe.

Displacement = x total - x initial

So I believe the answer is 5 blocks due north (if you’re walking linearly from your home), unless the questions is referring to relative displacement, in which then you’d need to use the Pythagorean theorem to find the hypotenuse between both positions. And then you’d have to find theta for the degrees between the south direction and the other unmentioned direction. But I don’t think that’s the case.

Distance refers to x total and doesn’t care for direction, as this refers to a scalar quantity opposed to a vector. Thus the equation is just

d = x

So 8 blocks + 3 blocks = a distance of eleven blocks walked total

7 0

3 years ago

The amount of matter in an object is mass or weight

Alenkinab [10]

Answer:

mass

Explanation:

8 0

3 years ago