An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f
t per sec. The heights of the ball in feet is given by the equation
S = -2.7t^2+40t+6.5, where t is the number of seconds after the ball was thrown.
After how many seconds is the ball 18 ft above the moon's surface?
1 answer:
Answer:
t = 0.293 s and 14.52 s
Step-by-step explanation:
The heights of the ball in feet is given by the equation as follows :

Where t is the number of seconds after the ball was thrown.
We need to find is the ball 18 ft above the moon's surface.
Put S = 18 ft

It is a quadratic equation. Its solution is given by :

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.
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