The mass is moving by uniformly accelerated motion, with initial velocity
and acceleration
. Its position at time t is given by the following law:
where we take the initial position
since we are only interested in the distance traveled by the mass.
If we put
into the equation, the corresponding time t is the time it takes for the mass to travel this distance:
And the two solutions for the equation are:
--> negative, we can discard it
--> this is the solution to our problem
Answer:
11.7 s
Explanation:
In this problem, the rocket is moving in a uniform accelerated motion. We have the following data:
d = 223 m, the distance that the sled has to cover
, the acceleration of the rocket
We can use therefore the following SUVAT equation:
where
d is the distance
u = 0 is the initial velocity of the sled (it starts from rest)
t is the time
a is the acceleration
Re-arranging the equation and substituting the numbers, we find the time it takes for the rocket to cross the field:
We can see it as two movements: one on the north-south axis and one on the west-east axis.
On the north-south Axis, the hiker went 8 km north and 4 km south, so in total the hiker went 4 km north (we can subtract one for the other and the direction remains that which was bigger)
On the west-easth Axis, the hiker went 6 km east and 6 km west, so in total the hiker didn't move on this axis! or, he/she moved but then "came back"
So in total, the hiker only moved4 km north - answer B.
<span />
Answer:
Tension in string equals 14.715 Newtons
Explanation:
The situation is represented in the figure attached below:
For equilibrium of the clothes along y- axis we have
Applying values we get
Answer:
Explanation:
The speed is a derived quantity as it being derived from a defined set of quantities through a formula. There are only 7 fundamental quantities which are being defined with their individual fundamental units. Of those, length and time are two of them.Thus, it is a derived quantity
