Question 1

A car travels 120 meters in 10 seconds. What is its average velocity?

Accepted Answer

$$12\ 	ext{m/s}$$

Question 2

A ball is thrown vertically upward with an initial velocity of $$15\ 	ext{m/s}. $$What is its velocity after $$2\ 	ext{s}$$? (Assume $$g = 9.8\ 	ext{m/s}^2$$ downward.)

Accepted Answer

$$-4.6\ 	ext{m/s}$$

Question 3

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with a speed of $$20\ 	ext{m/s}. $$What is the initial vertical component of its velocity?

Accepted Answer

$$10\ 	ext{m/s}$$

Question 4

A runner accelerates from rest at a constant rate of $$2\ 	ext{m/s}^2$$ for $$5\ 	ext{s}. $$What is the runner's final velocity?

Accepted Answer

$$10\ 	ext{m/s}$$

Question 5

A stone is dropped from a bridge and hits the water $$3\ 	ext{s}$$ later. How far did it fall? (Assume $$g = 9.8\ 	ext{m/s}^2.)$$

Accepted Answer

$$44.1\ 	ext{m}$$

Question 6

A car moves at a constant velocity of $$25\ 	ext{m/s}$$ for $$8\ 	ext{s}. $$What is the displacement?

Accepted Answer

$$200\ 	ext{m}$$

Question 7

A train slows down from $$30\ 	ext{m/s} to$$ $$10\ 	ext{m/s} in$$ $$5\ 	ext{s}. $$What is its average acceleration?

Accepted Answer

$$-4\ 	ext{m/s}^2$$

Question 8

A projectile is launched horizontally from a $$45\ 	ext{m}$$ high cliff. How long does it take to hit the ground? (Use $$g = 9.8\ 	ext{m/s}^2.)$$

Accepted Answer

$$3.03\ 	ext{s}$$

Question 9

A vector has components $$x = -3$$ and $$y = 4. $$What is its magnitude?

Accepted Answer

$$5$$

Question 10

A boat moves east at $$5\ 	ext{m/s}$$ relative to the water, while the water flows north at $$3\ 	ext{m/s}$$ relative to the shore. What is the boat's speed relative to the shore?

Accepted Answer

$$5.83\ 	ext{m/s}$$

Question 11

A car travels $$2.5\ 	ext{km} in$$ $$5\ 	ext{min}. $$What is its average speed in $$	ext{m/s}$$?

Accepted Answer

$$8.33\ 	ext{m/s}$$

Question 12

A ball is thrown horizontally from a $$20\ 	ext{m}$$ high building. How long does it take to reach the ground? (Use $$g = 9.8\ 	ext{m/s}^2.)$$

Accepted Answer

$$2.02\ 	ext{s}$$

Question 13

A car accelerates from $$10\ 	ext{m/s} to$$ $$30\ 	ext{m/s}$$ over a distance of $$100\ 	ext{m}. $$What is its acceleration?

Accepted Answer

$$4\ 	ext{m/s}^2$$

Question 14

A projectile is launched at $$40\ 	ext{m/s} at an $$angle of $$45^\circ. $$What is the horizontal component of its velocity?

Accepted Answer

$$28.3\ 	ext{m/s}$$

Question 15

A ball is thrown upward with $$12\ 	ext{m/s}. $$How long does it take to reach its maximum height? (Use $$g = 9.8\ 	ext{m/s}^2.)$$

Accepted Answer

$$1.22\ 	ext{s}$$

Question 16

A vector has $$x$$ component $$6$$ and $$y$$ component $$8. $$What is the angle it makes with the $$x-$$axis?

Accepted Answer

$$53.1^\circ$$

Question 17

A car travels $$100\ 	ext{m}$$ north, then $$100\ 	ext{m}$$ east. What is its total displacement?

Accepted Answer

$$141.4\ 	ext{m}$$

Question 18

A ball is thrown at $$20\ 	ext{m/s} at$$ $$60^\circ$$ above the horizontal. What is the vertical component of its velocity?

Accepted Answer

$$17.3\ 	ext{m/s}$$

Question 19

A car moves at $$60\ 	ext{miles/hour}. $$What is its speed in $$	ext{m/s}$$? (1 mile = 1609 m)

Accepted Answer

$$26.8\ 	ext{m/s}$$

Question 20

A ball is thrown downward with an initial velocity of $$5\ 	ext{m/s}$$ from a $$20\ 	ext{m}$$ high building. How long does it take to reach the ground? (Use $$g = 9.8\ 	ext{m/s}^2.)$$

Accepted Answer

$$1.47\ 	ext{s}$$

Kinematics and Motion: Essential Formulas and Concepts for Physics with Calculus

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