Question 1

Which of the following quantities is a vector?

Accepted Answer

Displacement between your home and school

Question 2

A car travels at a constant speed of $$22\ \mathrm{m/s}. $$What is its speed in $$\mathrm{km/h}$$?

Accepted Answer

$$79.2\ \mathrm{km/h}$$

Question 3

Which statement about scalars and vectors is TRUE?

Accepted Answer

Vectors can be added using the Pythagorean theorem if they are perpendicular.

Question 4

A student walks $$6\ \mathrm{m}$$ North, $$12\ \mathrm{m}$$ South, $$4\ \mathrm{m}$$ West, and $$2\ \mathrm{m}$$ East. What is the magnitude of the total displacement?

Accepted Answer

$$10.77\ \mathrm{m}$$

Question 5

A jack-o-lantern is dropped from a height of $$12.5\ \mathrm{m}. $$Neglecting air resistance, how long does it take to hit the ground? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.60\ \mathrm{s}$$

Question 6

A roller coaster car starts from rest and reaches $$4\ \mathrm{m/s} at $$the bottom of a slope in $$8\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$0.25\ \mathrm{m/s^2$}$$

Question 7

A baseball player sprints at $$7.6\ \mathrm{m/s}$$ for $$1.2\ \mathrm{s} to $$steal a base. What is the displacement?

Accepted Answer

$$9.12\ \mathrm{m}$$

Question 8

A vase is thrown vertically upwards with an initial velocity of $$26.2\ \mathrm{m/s}. $$What is the maximum height reached above the initial position? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$70.0\ \mathrm{m}$$

Question 9

George walks $$750\ \mathrm{m}$$ East and then $$900\ \mathrm{m}$$ South. What is his resultant displacement?

Accepted Answer

$$1175\ \mathrm{m}$$

Question 10

A car travels $$65\ \mathrm{miles/hour}$$ for $$30\ \mathrm{minutes}$$, stops for $$15\ \mathrm{minutes}$$, then travels $$45\ \mathrm{miles/hour}$$ for $$3600\ \mathrm{seconds}. $$What is the total distance traveled in meters?

Accepted Answer

$$56,700\ \mathrm{m}$$

Question 11

Which scenario describes a situation where distance is nonzero but displacement is zero?

Accepted Answer

A runner jogs around a circular track and finishes at the starting point.

Question 12

If a car's speedometer reads a constant $$65\ \mathrm{mph}$$, which statement is correct?

Accepted Answer

The car's speed is constant, but its velocity may change if direction changes.

Question 13

A bucket is dropped from a cliff and lands $$119.5\ \mathrm{m}$$ away horizontally. If the cliff is $$50\ \mathrm{m}$$ high, what is the time taken to hit the ground? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.19\ \mathrm{s}$$

Question 14

On a velocity-time graph, during which interval is the cart at rest?

Accepted Answer

Interval DE

Question 15

A car accelerates from $$0 to$$ $$22\ \mathrm{m/s} in$$ $$11\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$

Question 16

Which of the following is NOT a correct method for adding vectors?

Accepted Answer

Adding magnitudes directly regardless of direction

Question 17

A car travels $$100\ \mathrm{km}$$ north and then $$100\ \mathrm{km}$$ south. What is the displacement?

Accepted Answer

$$0\ \mathrm{km}$$

Question 18

A student walks $$8\ \mathrm{m}$$ North, $$12\ \mathrm{m}$$ South, $$15\ \mathrm{m}$$ West, and $$2\ \mathrm{m}$$ East. What is the magnitude of the total displacement?

Accepted Answer

$$15.3\ \mathrm{m}$$

Question 19

A car travels at $$53\ \mathrm{mph}. $$What is its speed in $$\mathrm{m/s}$$? ($$1\ \mathrm{mile} = 1609\ \mathrm{m})$$

Accepted Answer

$$23.7\ \mathrm{m/s}$$

Kinematics and Motion: Scalars, Vectors, and Displacement Study Notes

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