Answer :
The racing car with the parachute open and the breaks on with initial velocity of 50.5 m/s will come to a stop after traveling a distance of 145 metres.
What are Newton's law of motion?
Newton gave three laws of motion which can be utilised to find the velocity, acceleration and displacement of a body. These laws are only applicable for constant acceleration.
What is re-tardation in physics?
Re-tardation is a physical quantity that refers to the change of velocity per unit time it decreases the velocity of the object also known as de-acceleration.
Given:
Initial velocity of the racing car = 50.5 m/s
Final velocity of the racing car = 0 m/s
Time of re-tardation= 5.75 seconds
To find:
Displacement of the racing car while regarding
Using Newton's second law of motion.
i.e. s = u × t + 0.5 × a × t × t
Where,
s is the displacement of the racing car before coming to a stop.
u is the initial velocity of the racing car.
a is the acceleration/ re-tardation of the racing car.
t is the time taken.
First we will find the acceleration of the car using Newton's first law of motion we get,
v = u + a × t
0 = 50.5 + a × t
-50.5/5.75 = a
a = - 8.8 seconds
Substituting the value in the newton second law of motion we get,
s = 50.5 × 5.75 + 0.5 × (-8.8) × 33
s = 145 meters
Therefore, the racing car with the parachute open and the breaks on with initial velocity of 50.5 m/s will come to a stop after traveling a distance of 145 meters.
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