what equations do i use?
3. A 57kg trampoline artist jumps vertically upward from the top of a platform with a speed of 4.7m/s. How fast is he going as he lands on the trampoline 3.8m below?
4. A 124g baseball is dropped from a tree 11.6m above the ground. With what speed would it hit the ground if air resistance could be ignored?
3. vf^2=vi^2+2g*3.8 will do it
4. same formula. vf^2=vi^2+2ad
the correct answer was 15.08 m/s. how on earth do you get that?
To solve these problems, you can use the equations of motion. Specifically, you will need to use the equations related to free fall and projectile motion.
For both problems, the equations you can use are:
1. For the first problem (trampoline artist):
a) The equation of motion for vertical displacement in free fall is: Δy = v_iy * t + (1/2) * a_y * t^2
where Δy is the vertical displacement, v_iy is the initial vertical velocity, a_y is the acceleration due to gravity, and t is the time.
b) The equation for final velocity in vertical motion is: v_fy = v_iy + a_y * t
where v_fy is the final vertical velocity.
2. For the second problem (dropped baseball):
a) The equation of motion for vertical displacement in free fall is the same as in the previous problem.
Δy = v_iy * t + (1/2) * a_y * t^2
b) The equation for final velocity in vertical motion is also the same as in the previous problem.
v_fy = v_iy + a_y * t
In both cases, the acceleration due to gravity (a_y) is -9.8 m/s^2 (assuming downward motion is negative).
To solve these equations, you will need to manipulate them to find the desired variables (final velocity) when given other information (initial velocity, displacement, and acceleration).