You are a police officer examining the scene of a car crash that claimed the life of someone driving a Tesla. There was a collision involving them and a pickup truck. The truck driver, who survived, said he was travelling North into the intersection and the Tesla was travelling East into the intersection. The truck driver claims that he was not exceeding the speed limit when the accident occurred. You note the posted speed limit was 80 km/h. Like airplanes, Teslas have a black box that records various statistics in the event a collision occurs. After analyzing the data from the black box, you discover the Tesla was driving at a velocity of 65.8 km/h [E] when the collision occurred. You google the mass of both of the vehicles and find the Tesla should be about 2250 kg and the truck should be about 2930 kg. During the collision, the two vehicles crumpled and became entangled, the skid marks revealing that the two vehicles travelled E 56° N after impact. How fast, in km/h, was the truck actually driving at the moment of impact? 0
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![The
of tesla car Vc = 65.8 km/h (E)
and mass Mc = 2250
kg
velocity
and mass of the Truck = 2930 kg
McVc = (Mc+M+ ) VCos 56°
=) V =
=) V = 2250 kg x 65.8 km/h(E)
cos 56 (2250 kg + 2930 kg)
=) V= 51.1 Km/h
Mc
CS6 (Mc + Mt) [where it is the Velocity of
Mow from momentum conservation along yaxis
V+M+ = V(Mc + Mt) sin 56°
Mc + M+
M+
sin560
=) V+ = V
=) V+ = 51.1 km/h
= V+ = 74.9 km/h
x
(2250
kg +2930 kg) Sin56
2930 kg
Therefore, at the moment of impact the truck was actually
driving at 74.9 km/h velocity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd72932c6-89e3-435c-8ad7-a8e431d819e0%2F00e06c23-423d-458a-9178-a9438da0005c%2Fexao3sc_processed.jpeg&w=3840&q=75)
![You are a police officer examining the scene of a car crash that claimed the life of
someone driving a Tesla. There was a collision involving them and a pickup truck. The
truck driver, who survived, said he was travelling North into the intersection and the
Tesla was travelling East into the intersection. The truck driver claims that he was not
exceeding the speed limit when the accident occurred. You note the posted speed
limit was 80 km/h. Like airplanes, Teslas have a black box that records various
statistics in the event a collision occurs. After analyzing the data from the black box,
you discover the Tesla was driving at a velocity of 65.8 km/h [E] when the collision
occurred. You google the mass of both of the vehicles and find the Tesla should be
about 2250 kg and the truck should be about 2930 kg. During the collision, the two
vehicles crumpled and became entangled, the skid marks revealing that the two
vehicles travelled E 56° N after impact. How fast, in km/h, was the truck actually
driving at the moment of impact?
W
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd72932c6-89e3-435c-8ad7-a8e431d819e0%2F00e06c23-423d-458a-9178-a9438da0005c%2Fu1u4cc_processed.jpeg&w=3840&q=75)
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