View Full Version : Physics help
jordyshorty
Jan 14, 2012, 11:51 AM
A skier from rest skis straight down a slope 50 m long in 5 s. What is the magnitude of acceleration of the skier?
Aurora2000
Jan 14, 2012, 12:48 PM
Use the formula
acceleration=\Delta v/t
where t is time and \Delta v the variation in velocity.
jordyshorty
Jan 14, 2012, 04:07 PM
How would u solve it though?
Aurora2000
Jan 15, 2012, 02:38 PM
The skier starts from rest (thus 0 m/s), and skies 50 m. Let be a its acceleration. His speed at time t is
v(t)=at, and the distance travelled is
s(t)=\int_0^t v(x)dx=\frac{1}{2}at^2
You know from problem data that after 5s he has travelled 50m, thus
50m = \frac{1}{2}a(5s)^2
and solve in a to get the acceleration (result 4m/s^2).