Your throw a ball straight upward at an initial speed of 5 m/s. How many times does the ball pass a point 2 m above the point you launched it from? Draw an x-t and a v-t diagram for the motion of this ball.

Respuesta :

Answer:

The ball never passes 2m high, Hmax=1.27m

Explanation:

we assume the ball doesn't bounce when it hits the ground.

We calculate the maximum height, Vf = 0.

[tex]v_{o}^{2}=2gH_{max}\\H_{max}=v_{o}^{2}/(2g)=5^{2}/(2*9.81)=1.27m[/tex]

So, the ball never passes 2m high.

Kinematics equations:

[tex]x(t)=v_{o}t-1/2*g*t^{2}\\v(t)=v_{o}-gt[/tex]

Find annexed the graphics of x(t) and v(t)

Ver imagen jorgezarate
Ver imagen jorgezarate