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a cat leaps to try to catch a bird. if the cat's jump was at 60° off the ground and its initial velocity was 2.74 m/s, what is the highest point of its trajectory, neglecting air resistance?

Answer :

The projectile launch relations allow to find the results for the maximum height of the jump of the cat is 0,, 287 m

The projectile launch studies the movement of the body near the earth, let's use the relationship

             [tex]v_y^2 = v_o_y - 2 g y[/tex]  

Where v_y is the vertical velocity, v_[oy} the initial vertical velocity, g the acceleration of gravity (g = 9.8 m / s²) and t the time

They indicate that the cat jumped with an initial velocity of v₀ = 2.74 m / s and an angle of θ = 60º, let's use trigonometry to find the components of the velocity

         v₀ₓ = vâ‚€ cos 60

         [tex]v_o_y[/tex] = vâ‚€ sin 60

         [tex]v_o_y[/tex] = 2.74 sin 60 = 2.37 m / s

In the point highest trajectory the vertical speed must be zero (v_y = 0), in the attached we can see a diagram of the speeds of the cat

          0 = [tex]v_{oy}^2[/tex]  - 2g y

          y =  [tex]\frac{v_{oy}^2 }{2g}[/tex]

Let's calculate

         y = [tex]\frac{2.37^2}{2 \ 9.8 }[/tex]  

         y = 0.287 m

In conclusion with the projectile launch relations we can find the results for the maximum height of the cat jump is 0,, 287 m

Learn more here:  brainly.com/question/14290926

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