A mouse in a maze scurries 41 cm south and then takes a 90-degree turn and scurries 64 cm west to get a piece of cheese. Find the mouse’s displacement.

Question

A) 105 cm

b) southwest

c) 76 cm southwest

d) zero

i also need help with this one:

what is the range of a bullet fired horizontally at a height of 1.5 m with an initial velocity of 120 m/s?

a) -9.8 m/s^2

b) about 0.55 s

c) about 66.4 m

d) there is not enough information to find the range of the bullet

Answer 1

The 41cm move South combined with the 64 cm move west form a right triangle with hypotenuse = sqrt(41²+64²)=76cm displacement in a Southwesterly direction.

The bullet falls 1.5m in t seconds where 1.5=1/2gt². Solving for t yields .553 seconds. The bullet travels 120t meters in the same time, thus range = 66.4 meters