53.1k views
3 votes
A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -4.9t2 + 19.6t + 58.8 . When will the ball strike the ground?

User SahalMoidu
by
8.6k points

1 Answer

1 vote
A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. "

Is that a typo, or a real mixture of units?

The equation is only good if the launch speed is actually 19.6 m/s, so I'll assume that.

It will strike the ground when the ball's height = 0 m !!!

-4.9t² +19.6t + 58.8 = 0

You can always use the "quadratic formula" if you want to, but ...

This set of numbers is beloved by physics teachers everywhere. Everything divides by -4.9

t² - 4t -12 = 0

...and factorizes easily:

(t + 2)(t - 6)

So t = 6 or t = -2 Disregard the negative solution.

The ball will strike the ground at t = 6 seconds
User MrTourkos
by
8.6k points