Explanation:
ans ...(5,3)..............
At the vertex, it's vertical velocity is 0, since it has stopped moving up and is about to come back down, and its displacement is 0.33m.
So we use v² = u² + 2as (neat trick I discovered just then for typing the squared sign: hold down alt and type 0178 on ur numpad wtih numlock on!!!) ANYWAY.......
We apply v² = u² + 2as in the y direction only. Ignore x direction.
IN Y DIRECTION:
v² = u² + 2as
0 = u² - 2gh
u = √(2gh) (Sub in values at the very end)
So that will be the velocity in the y direction only. But we're given the angle at which the ball is hit (3° to the horizontal). So to find the velocity (sum of the velocity in x and y direction on impact) we can use: sin 3° = opposite/hypotenuse = (velocity in y direction only) / (velocity)
So rearranging,
velocity = (velocity in y direction only) / sin 3°
= √(2gh)/sin 3°
= (√(2 x 9.8 x 0.33)) / sin 3°
= 49 m/s at 3° to the horizontal
Light travels at a speed of 299,792 kilometers per second; 186,287 miles per second
Mercury it will take 193.0 seconds(3.2 minutes)
Venus it will take 360.0 seconds(6.0 minutes)
Earth it will take 499.0 seconds(8.3 minutes)
Mars It will take 759.9 seconds(12.6 minutes)
Jupiter It will take 2595.0 seconds(43.2 minutes)
Saturn it will take 4759.0 seconds(79.3 minutes)
Uranus it will take 9575.0 seconds(159.6 minutes)
Neptune it will take 14998.0 seconds(4.1 hours)
Pluto it will take 19680.0 seconds(5.5 hours)
I think it is d I hope this help you if not let me know if it is not right
Answer:
d = 13 miles
Explanation:
Lets say the position of court house is origin in this case
her office is located at 4 miles west and 4 miles south of court house
so here we have coordinate of the office with respect to court house is given as
now the position of her home is located at 1 miles east and 8 miles north of the court house
so the coordinates of her home is given as
now the change in the position is given as the distance between office and home
