Question 1

A runner completes a 100 m dash in 9.58 s. What is the runner's average velocity during the race?

Accepted Answer

$$10.44\ \mathrm{m/s}$$

Question 2

Which of the following statements best describes the difference between displacement and distance?

Accepted Answer

Displacement is a vector quantity, while distance is a scalar quantity.

Question 3

A car moves along a straight road such that its position as a function of time is given by $$x(t) = 2t^3$ - 5t^2$ + 4t. $$What is the instantaneous velocity at $$t = 2\ \mathrm{s}$$?

Accepted Answer

$$v = 8\ \mathrm{m/s}$$

Question 4

Which equation correctly relates average acceleration $$a_{\mathrm{ave}} to $$the change in velocity and time?

Accepted Answer

$$a_{\mathrm{ave}} = \frac{v_2$ - v_1$}{t_2$ - t_1$}$$

Question 5

A ball is dropped from rest and falls freely under gravity. Which of the following is true about its velocity and acceleration?

Accepted Answer

Velocity increases linearly with time; acceleration is constant.

Question 6

A swimmer completes a 50 m race in 20 s. What is the magnitude of the swimmer's average velocity?

Accepted Answer

$$2.5\ \mathrm{m/s}$$

Question 7

Given the velocity-time equation $$v_x = v_{0x} + a_x t$$, what does the area under the $$a_x vs$$. $$t$$ graph represent?

Accepted Answer

Change in velocity $$v_x - v_{0x}$$

Question 8

A car starts from rest and accelerates uniformly at $$3\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$15\ \mathrm{m/s}$$

Question 9

Which of the following is the correct kinematic equation for position with constant acceleration?

Accepted Answer

$$x = x_0$ + v_{0x} t + \frac{1}{2} a_x t^2$

Question 10

A car travels with a velocity given by $$v(t) = 4t^2$. What is the car's acceleration at t = 3$$\ \mathrm{s}$$?

Accepted Answer

$$a = 24\ \mathrm{m/s^2$}$$

Question 11

A ball is thrown straight up with an initial velocity of $$20\ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height reached by the ball? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$20.4\ \mathrm{m}$$

Question 12

Which of the following best describes the instantaneous velocity at a specific time $$t$$?

Accepted Answer

The slope of the tangent to the $$x$$-$$t$$ curve at that point.

Question 13

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 14

If a particle moves such that its velocity is always zero, which of the following must be true?

Accepted Answer

Its position does not change with time.

Question 15

A car moves with constant acceleration. Which of the following is true about the velocity-time graph for this motion?

Accepted Answer

It is a straight line with nonzero slope.

Question 16

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

Accepted Answer

$$1.53\ \mathrm{s}$$

Question 17

Which of the following is NOT a valid kinematic equation for constant acceleration?

Accepted Answer

$$x = x_0$ + v_{0x} t^2$

Question 18

A car's position is given by $$x(t) = 5t^2$ + 2t + 1. $$What is the car's acceleration?

Accepted Answer

$$a = 10\ \mathrm{m/s^2$}$$

Question 19

A car travels at $$20\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then accelerates at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the total distance traveled?

Accepted Answer

$$275\ \mathrm{m}$$

Motion Along a Straight Line (1D Kinematics): Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard