Question

# A car heading north collides at an intersection with a truckheading east. If they lock together and travel at 28 m/s at 15^\circ north of east just after the collision,how fast was the car initially traveling? Assume that the two vehicles have the same mass. a. 7 m/s b. 28 m/s c. 14 m/s d. 11 m/s

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A car heading north collides at an intersection with a truckheading east. If they lock together and travel at 28 m/s at $$\displaystyle{15}^{\circ}$$ north of east just after the collision,how fast was the car initially traveling? Assume that the two vehicles have the same mass.
a. 7 m/s
b. 28 m/s
c. 14 m/s
d. 11 m/s

2021-02-22

momentum = mv, where m is the mass and v is the velocity
$$\displaystyle{\left(\text{momentum before}\right)}_{{y}}={\left(\text{momentum after}\right)}_{{y}}$$
$$\displaystyle{0}+{m}{v}={2}{m}\cdot{28}{\sin{{15}}}$$
v = 14.49 m/s
=14 m/s to 2 sig fig)