A motorcycle has a constant speed of 29.6 m/s as it passes over the top of a hill whose radius of curvature is 183 m. The mass o
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So the initial velocity is 15 m/s, the final velocity is 0 since it's at a complete stop and time is 10 seconds. Therefore:
Therefore, the acceleration is -1.5 m/s^2. The reason it's negative is due to the fact that the vector is going against it's original movement since it's decelerating.
Answer:
5.05 m
Explanation:
length of stick (L) = 1 m
distance from the top of the stick to the ground (d) = 2.07 m
time taken for corn to travel the length of the stick (t) = 0.121 s
acceleration due to gravity (a) = 9.8 m/s^{2}
we can get the distance in four stages.
- Finding the velocity the corn was moving at from
where s = length of stick, t = time, a = acceleration due to gravity
1 = 0.121u + (0.5 x 9.8 x 0.121 x 0.121)
1 = 0.121v + 0.0717
1 - 0.0717 = 0.121v
v = 7.67 m/s
- Using the velocity above to find the time it took for the corn to fall to the top of the stick from the formula v = u + at' where:
v = final velocity = 7.67 m/s
u = initial velocity = 0 m/s since it was initially at rest
a = acceleration due to gravity
t' = time taken to fall to the top of the stick
7.67 = 0 + (9.8 x t')
t' = 7.67 / 9.8 = 0.78 s
- using the time above to find the distance between the branch the corn falls from and the top of the stick using
where:
s = distance
v = initial velocity = 0 m/s since it was initially at rest
t = time = 0.78 s
a = acceleration due to gravity = 9.8
s = 0 + (0.5 x 9.8 x 0.78 x 0.78)
s = 2.98 m
- Add the distance between the branch the corn falls from and the top of the stick and the distance from the top of the stick to the ground.
2.98 + 2.07 = 5.05 m