Word Problem with Kinematics Equation

Natko
Messages
44
Reaction score
0

Homework Statement


An object thrown up from a cliff 10 m/s reaches a velocity of 20 m/s [down] as it lands. If acceleration due to gravity is 9.8 m/s2, what is the object's displacement? How long did it take for the object to land from the time it was thrown?


Homework Equations


I'm not sure if all of the below are relevant, or perhaps some equations are missing.

Δx = v0t + 1/2at2
(displacement = initial velocity x time + 1/2 acceleration x time squared)

vf2 = v02 + 2aΔx
(final velocity squared = initial velocity squared + 2 acceleration x displacement


The Attempt at a Solution


t1 = v/a = 1.02 s
t2 = v/a = 2.04 s
t1 + t2 = 3.1 s

Not sure how to find the displacement, but the answer key says it's -15m. How do I find it?
 
on Phys.org
Natko said:
Not sure how to find the displacement, but the answer key says it's -15m. How do I find it?
You can use either of your two equations to solve for the displacement. If you use the first, do not round off the time to 3.1 seconds.
 
  • Like
Likes   Reactions: 1 person

Similar threads

Replies
7
Views
2K
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
Replies
2
Views
1K
Replies
8
Views
12K
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 17 ·
Replies
17
Views
5K