Write formulas for the initial speed of a projectile you will use in this lab using both kinematics and energy methods (two formulas). The kinematics formula should be in terms of horizontal and vertical displacements. The energy formula should be in terms or vertical height, projectile mass, and solid pendulum mass. Identify all variables and SI units.

 x = v₀ cos θ t,  y = v₀ sin θ t - ½ g t² ,     y = ½ v² / g  

Explanation:

The formulas for launching projectiles is

as in the x axis there is no acceleration

          x = v₀ₓ t

         x = v₀ cos θ t

on the axis and the acceleration is the acceleration of gravity

         y = t - ½ g t²

         y = v₀ sin θ t - ½ g t²

the formulas for the position with energy metomentodos, we must see that since there is no friction the mechanical energy is conserved, we write the energy for two points

initial. Highest point

        = U = m g y

final . Lowest point

      Em_{f} = K = ½ m v²

      Em_{o} = Em_{f}

      mg y = ½ m v²

       y = ½ v² / g

are there answer choices to this question? this seems like a question where you have options to choose from.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.