A physics student adds two displacement vectors with Which one of the following

Question

A physics student adds two displacement vectors with Which one of the following statements is true concerning Hoe magnitude of the resultant displacement? A It must be 5 0 km hit must be I 0 km must be 1.6 km could have any value between 1 0 km and 7 0 km depending On a two lane highway, a car is following a pickup truck At one instant, the t at has a speed of 22 m/s and is 184 m behind the truck At the same time, the truer a speed of 15 m/s If neither vehicle accelerates, how long will it take the c ar to r art up to You are driving a car with a speed of 25 0 m/s toward the south As yon approach-h a left light, you apply break and after 5 seconds, the car comes to rest What IS the average acceleration of the car? A. 2.11 m/s^2. north b 2 A S00-kg car accelerates from rest to 25 m/s in a distance of 1/5 meter What is the DON Center of gravity of each object is located at its center Gasoline floats in water because it is - water A more Water at higher elevation would boil

Explanation / Answer

Displacement vectors has magnitudes 4 km and 3 km

A= 3x^ and B= 4x^, i.e, both the vectors having same direction.

a+b=7x^

and, the magnitude of (A+B)= sqrt(72)=7

but,

if A= 3x^ and B= 4y^, both the vectors having different directions.

A+B= 3x^ +4y^

magnitude of (A+B)= sqrt(32 + 42)= 5 km

Since the direction is not given we cant make any conclusions. It can either 5km or 7 km

option d is correct

2)velocity=25 m/s

time=5 sec

Acceleration=velocity/time=25/5=5 m/s2 south

3)Two vehicles are in the same direction so the deference velocity between is :

Vd (deference velocity) = 22 - 18 = 4 m/s

so the time we needed to catch the truck = 184 / 4 = 46 s

4)average speed =(0 +25) / 2 = 12.5 m/s

t = distance / average speed = 125 / 12.5 = 10 s

a = dv / dt = 25 /10= 2.5 m/s2

F net = m * a = 500 * 2.5 = 1250 N

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