Trying to escape his pursuers, a secret agent skis off a slope inclined at 30° b
ID: 1880718 • Letter: T
Question
Trying to escape his pursuers, a secret agent skis off a slope inclined at 30° below the horizontal at 52 km/h. To survive and land on the snow 100 mbelow, he must clear a gorge 55 m wide. Does he make it? Ignore air resistance.
If so, by how much does the agent safely make the landing? If not, by how much does the agent miss the landing? (Enter the magnitude in meters.)
Trynq to eicepe bus purwers, a secret agent skis pe mined 30s twiow the honrontal ot 52 kin/h, Tosurvve and land on the snow 100 m' below, he must dear gorge 55 m wde. Does he makt "grert arrestaren. (not to scale) 30 100 mExplanation / Answer
Using 2nd equation of motion
h= u sin x* t + 0.5gt^2
100= 52*5/18* sin 30t+ 4.9t^2
solving for t
t= 3.84 second
=======
Horizontal distance travelled by the agent
R= 52*5/18* cos 30* 3.84
R= 48 m
He can't clear the gorge with this speed.
He need to increase his speed or angle of elevation in order to make the jump successful.
=======
Comment in case any doubt.. good luck