Find vertical and horizontal displacement. Please help. 10 points. Thank you.

Explanation:

horizontal velocity = 30 x Cos45 = 19.48m/s

to find horizontal displacement

vertical velocity = 30 x Cos45 = 22.81m/s

vertical displacement = vertical velocity x time

vertical displacement = 22.81 x 2 = 45.62m

Displacement after two seconds

= <Dx,Dy> = <42.426, 1.593> m to three decimal places

Explanation:

Given:

arrow shot at 30m/s and 45 degrees with horizontal.

Hit bull's eye after 2 seconds.

Find horizontal and vertical displacements.

Vx = 30cos(30) m/seconds  constant  velocity

therefore

Dx = Vx*t = 30cos(30) m/s *  2 s = 60 cos (45) = 42.426 m

Vy = 30 sin(45) m/s  

Dy = Vy*t + a(t^2) /2  

= 30*sin(45) -9.81(2^2)/2        (g is accelerating downwards, so negative)

= 1.593 m

The net displacement after 2 seconds is

D = <Dx,Dy> = <42.426, 1.593> m to three decimal places

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.