23.7k views
0 votes
The climber dropped her compass at the end of her 240-meter climb. How long did it take to strike bottom?

2 Answers

4 votes

240 = 0+1/2 (-9.8t

240 = -4.9t

240/-4.9 = t
49.0 = t

t= 7.0s

User Tom Stambaugh
by
8.4k points
5 votes

Answer:

7 seconds

Step-by-step explanation:

Let's first write down what we have so that we can choose the correct equation of linear motion

initial velocity (u) = 0 m/s

distance (x) = h = 240 m

acceleration (a) = g = 9.81 m/s²


s = ut + (at^(2) )/(2) \\\\240 = (0)(t) + (9.81t^(2) )/(2)\\ \\9.81t^(2) = 480\\\\t = 6.99s\\\\t = 7 s

User Robert Hafner
by
7.8k points