A732 kg car stopped at an intersection is rear-ended by a 1720 kg truck moving with a speed of 15.5m/s. if the car was in neutral and its breaks were off, so the collisions are approximately elastic, find the final speed of both vehicles after the collisions.

The final velocity of the car is 6.22 m/s and the final velocity of the truck is 21.72 m/s.

The given parameters;

The final velocity of both vehicles is calculated by applying the principle of conservation of linear momentum;

Apply one-directional linear velocity equation;

substitute the value of v₁ into the above equation;

Thus, the final velocity of the car is 6.22 m/s and the final velocity of the truck is 21.72 m/s.

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Truck= 6.25 m/s

Car= 21.7 m/s

Explanation:

For elastic collision, the truck's final velocity is given by

The car's final velocity is given by

Where m and u denote masses and velocity respectively, subscripts 1 and 2 denote truck and car respectively.

Substituting 1720 Kg for mass of truck, 732 for mass of car and initial velocity as 15.5 m/s

Therefore, the final velocity of truck is 6.25 m/s while the car's final velocity is 21.7 m/s

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

ill do it for 100, also this isnt 80 its 40