The intensity of a sound describes
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Assuming the driver starts slamming the brakes immediately, the car moves by uniformly decelerated motion, so we can use the following relationship
(1)
where
a is the deleceration
S is the distance covered after a time t
is the velocity at time t
is the initial speed of the car
The accident is 80 m ahead of the car, so the minimum deceleration required to avoid the accident is the value of a such that S=80 m and
(the car should stop exactly at S=80 m to avoid the accident). Using these data, we can solve the equation (1) to find a:
And the negative sign means it is a deceleration.
where
a is the deleceration
S is the distance covered after a time t
The accident is 80 m ahead of the car, so the minimum deceleration required to avoid the accident is the value of a such that S=80 m and
And the negative sign means it is a deceleration.
The slope of the velocity time graph of an object moving with constant acceleration is constant
It will take approximately <u>3 seconds</u> for the center of mass of Object X to reach point J near the bottom of the incline
The reason why the above time value is correct is given as follows:
Known parameters:
Initial velocity of the objects, u = 0
The graph in the question is a straight line graph with data points
(0, 0), (0.5, 1.0), (1.0, 2), (3.0, 6), and (3.5, 7)
Given that the slope of the velocity-time graph is constant, we have that the acceleration is constant and is given as follows;
Therefore;
The acceleration, a ≈ 2 m/s²
The distance from the center of mass of the Object X to the point J near the bottom = 9 m
The equation for distance travelled is given as follows;
Which gives;
t = √9 = 3
The time it will take the center of mass of Object X to reach point J near the bottom of the incline is t = <u>3 seconds</u>
Learn more about motion under constant acceleration here:
