You are initially at rest in your car. at time t = 0, a truck passes you moving at 25.0 m/s. you then immediately begin to accel
1 answer:
Let the car will overtake the truck after time 't'. In this time, the distance cover by the car is equal to the distance cover by the truck.
Distance cover by the truck in time 't' = Speed of the truck× time = 25t m
Distance cover by the car can be calculated using the second equation of motion, that is
As, the car started from the rest its initial velocity is zero.
Acceleration of the car= 3 m/s²
∴ Distance cover by the car = 0×t +
= m
Equating the distances cover by the car and the truck, we get
t= = 16.66 s
Hence, the car will overtake the truck in 16.66 s.
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Answer:
Length of third side = 3.97m
Explanation:
First of all, let we draw the triangle from the given information assuming our first corner is A. second corner is B and third corner is C.
From A-B we have distance = 5.5m = Say it c
From B-C we have distance = 4.3m = Say it a
From A-C we have distance = ? = Say it b which we have to find out.
Using the Law of Cosines: The square of the unknown side equals to the sum of squares of other 2 sides and subtracting 2*(Product of other sides)*(Cos(Angle opposite to the unknown side)
For our case it is:
b² = a² + c² - 2acCos(B) - Say it equation 1
From the attached triangle you may see that, a & c are our known sides and B is the angle opposite to the side b.
There values are:
a = 4.3m; c = 5.5m ; Angle B = 0.8 rad = 0.8 * 57.3 = 45.84 degrees where 1 rad = 57.3 degrees
Now by putting the respectve values in equation 1 we have:
b² = (4.3)² + (5.5)² - 2*4.3*5.5*Cos(45.84)
b² = 18.49 + 30.25 - 32.95
b² = 15.79
b = √15.79
b = 3.97m
Thus the length of third side is 3.97m.
PS: The picture of triangle is being attached for yours understanding.
