a baseball is thrown horizontally with an initial velocity of 20m/s from a height of 1.5m. how long will it take to reach the ground? how far will it go horizontally?​

Sagot :

Answer:

Equations of motion of baseball are y(t) = h - \frac{g t^2}{2}y(t)=h−

2

gt

2

, x(t) = v_0 tx(t)=v

0

t, where hh is the initial height, and v_0v

0

is the initial horizontal velocity.

When the ball reaches the ground, y(t) = 0y(t)=0, from where it takes t_1 = \sqrt{\frac{2 h}{g}} \approx 0.55 st

1

=

g

2h

≈0.55s to reach the ground.

Substituting the time t_1t

1

from the last equation into equation for x(t)x(t), obtain the horizontal distance covered: s = x(t_1) = v_0 \sqrt{\frac{2 h}{g}} \approx 11.06 ms=x(t

1

)=v

0

g

2h

≈11.06m