a stone is thrown vertically upward with an initial velocity of 40m/s. taking g=10m/s², find the maximum height reached by the stone.what is the net displacement and the total distance covered by the stone?
pls answer breifly
Answers
Answer:
time taken to reach top =4 sec
total time taken in whole journey =8
height /displacement =80 m
total distance = 160m
Explanation:
v=u+at
v=0 at top position
40=10t
t= 4s to go upward
same time will be taken to go downward
v^2 =u^2+2as
40×40=2×10×s
s=80m (displacement)
d=160m(distance
Given :
A stone is thrown vertically upward with an initial velocity of 40 m/s.
To Find :
Maximum height reached by the stone, distance travelled and displacement.
Solution :
❖ For a body thrown vertically upward, g is taken negative as it acts in downward direction.
Since constant acceleration due to gravity acts on the stone, equation of kinematics can be used to solve this question
Third equation of kinematics is given by
- v² - u² = 2gh
» v denotes final velocity
» u denotes initial velocity
» g denotes acceleration
» h denotes height
By substituting the given values
➙ 0² - 40² = 2(-10)h
➙ -1600 = -20h
➙ h = -1600/-20
➙ h = 80 m
∴ Hence distance covered by stone or displacement is 80m.