Answer:
(A) The maximum height of the ball is 40.57 m
(B) Time spent by the ball on air is 5.76 s
(C) at 33.23 m the speed will be 12 m/s
Explanation:
Given;
initial velocity of the ball, u = 28.2 m/s
(A) The maximum height
At maximum height, the final velocity, v = 0
v² = u² -2gh
u² = 2gh

(B) Time spent by the ball on air
Time of flight = Time to reach maximum height + time to hit ground.
Time to reach maximum height = time to hit ground.
Time to reach maximum height is given by;
v = u - gt
u = gt

Time of flight, T = 2t

(C) the position of the ball at 12 m/s
As the ball moves upwards, the speed drops, then the height of the ball when the speed drops to 12m/s will be calculated by applying the equation below.
v² = u² - 2gh
12² = 28.2² - 2(9.8)h
12² - 28.2² = - 2(9.8)h
-651.24 = -19.6h
h = 651.24 / 19.6
h = 33.23 m
Thus, at 33.23 m the speed will be 12 m/s
Answer:
Explanation:
mass of astronaut, M = 66.5 kg
mass of tool, m = 2.3 kg
velocity of tool, v = 3.10 m/s
Let the velocity of astronaut is V.
(A) According to the conservation of moemntum
Momentum of astronaut = Momentum of tool
M x V = m x v
66.5 x V = 2.3 x 3.10
V = 0.107 m/s
(B) The direction of motion of astronaut is opposite to the direction of motion of tool.
True,According to Isaac Newton believes that Gravity is responsible for drawing attraction which is directly proportional to product of their masses but inversely proportional to the square of the distance between them.
Answer:

Explanation:
The equations of kinematics will be used to solve this question:

At its maximum height, the projectile has zero velocity in the y-direction. But its velocity in the x-direction is unaffected.
First, let's apply the above equations to the x-direction.
There is no acceleration in the x-direction. So, its velocity in the x-direction is constant during the motion.

Therefore, the velocity vector of the projectile is

The speed of the projectile is the same.
The acceleration vector is constant during the motion and equal to the gravitational acceleration, which is -9.8 downwards.
Answer:
Explanation:
For elestic collision
v₁ = 
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Here u₁ = 0 , u₂ = 22 m/s , m₁ = 77 kg , m₂ = .15 kg , v₁ and v₂ are velocity of goalie and puck after the collision.
v₁ = 0 + ( 2 x .15 x22 )/ 77.15
= .085 m / s
Velocity of goalie will be .085 m/s in the direction of original velocity of ball before collision.
v₂ = (.15 - 77)x 22 / 77.15 +0
= - 21.91 m /s
=Velocity of puck will be - 21.91 m /s in the direction opposite to original velocity of ball before collision.