If a ball is thrown in the air starting at position a (fromthe
ground) with an initial velocity of 80 m/s and given thatthe time
it takes to travel to point b is t=3s, what is thetime,
displacement and velocity at positions b (half way up in theair), c
(at max height) and d (back on ground).

Explanation:

Given

initial velocity of ball at ground

Distance traveled in t=3 sec is given by

h=distance traveled

u=initial velocity

a=acceleration

t=time

Maximum Height is obtained when final velocity

using

where v=final velocity

time taken to reach maximum height

using

therefore total time will be twice of time required to reach at maximum height

time taken to reach point D is

    m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| =  √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| =  √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| =  14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

If one were to put the y value into the equation, they could find out what x is for a certain value of y.  putting in the value of y (1), we get the equation: 1=4x-12=4xx=0.5this means that the value of x when why is 1 is x=0.5