A car is driving down the highway at a 50 m/s. Suddenly, the driver sees an accident and slams on his breaks, coming to a comple
1 answer:
Given parameters:
Speed of the car = 50m/s
Time = 10s
Unknown:
Distance traveled before the car stopped = ?
We need to establish speed - time - distance relationship.
Speed is the rate of change of distance with time. It is a scalar quantity .
Mathematically;
Speed =
Distance = speed x time
Input the parameters and solve;
Distance = 50 x 10 = 500m
The car traveled 500m before it stopped.
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Answer: 211.059 m
Explanation:
We have the following data:
The angle at which the ball leaves the bat
The initial velocity of the ball
The acceleration due gravity
We need to find how far (horizontally) the ball travels in the air:
Firstly we need to know this velocity has two components:
<u>Horizontally:</u>
(1)
(2)
<u>Vertically:</u>
(3)
(4)
On the other hand, when we talk about parabolic movement (as in this situation) the ball reaches its maximum height just in the middle of this parabola, when and the time
is half the time it takes the complete parabolic path.
So, if we use the following equation, we will find :
(5)
Isolating :
(6)
(7)
(8)
Now that we have the time it takes to the ball to travel half of is path, we can find the total time it takes the complete parabolic path, which is twice
:
(9)
With this result in mind, we can finally calculate how far the ball travels in the air:
(10)
Substituting (2) and (9) in (10):
(11)
Finally: