Answer:
Initial velocity = 39.2m/s
Maximum height is 78.4m
Explanation:
Given

Solving (a): Initial Velocity
Using first law of motion:

Where


<em />
<em> [g represents acceleration due to gravity]</em>

Substitute these value in the above formula:



Take g as 9.8m/s²


<em>Hence, initial velocity = 39.2m/s</em>
Solving (b): Maximum Height
This will be solved using second equation of motion

This becomes

Substitute values for u, t and g



<em>Hence, the maximum height is 78.4m</em>
Answer:
False
Explanation:
Sun mass is dominating in Solar system as compared to other planets, asteroids and comets. Sun itself accounting for the 99.9% of the mass of the solar system. Hence the gravitational force exerted by the Sun dominates the other objects in the solar system. So we can conclude that solar system has non-uniform composition. The given statement is false
This first step involves a right triangle. If the plane is 400 km east and 300 km south of the origin, and it flew in a straight line, then you can construct a right triangle with side lengths 300, 400, and c. You may recognize that these are multiples of the Pythagorean triple 3, 4, 5, so the side length c is 500 km. Otherwise, you would write

.
This second step is, if I am correctly interpreting "degrees south of east," to find the angle formed by the horizontal line representing the east and the path of the plane. I made a diagram that does just that (see attached). You can use a trig function of one of the angles to solve. I chose

. Thus, I believe it is 37° south of east.
Answer:
u = 5 m/s
Explanation:
given,
Mass of ice skater, M = 45 Kg
initial speed = 0 m/s
mass of the ball, m = 5 Kg
velocity of skater and the ball,V = 0.5 m/s
speed of the ball = ?
using conservation of momentum
m u + M u' =( M + m ) V
initial speed of ice skater is zero
5 x u + 45 x 0 =( 45 + 5 ) V
5 u = 50 x 0.5
5 u = 25
u = 5 m/s
hence, the speed of the ball is equal to 5 m/s
3 kilograms is equivalent to 29.41995008592, round according to what your teacher desires. Hope this helps you and have a wonderful night :)