Q: A projectile is launched at an angle $$\theta$$ above the horizontal with initial speed $$v_0. $$What is the formula for its maximum height?

$$h_{max} = \frac{v_0$^2 \sin^2$ \theta}{2g}$$

Question 1

A student adds two displacement vectors with magnitudes of 3.0 m and 5.0 m, respectively. Which of the following could NOT be a possible choice for the magnitude of the resultant vector?

Accepted Answer

$$8.8\ \mathrm{m}$$

Question 2

A ball is launched with an initial velocity $$v_0 at $$point O as shown in the diagram. Which arrow best represents the direction of the acceleration at point A (just after launch)?

Accepted Answer

Arrow pointing vertically downward

Question 3

A ball is launched with an initial velocity $$v_0 at $$point O as shown in the diagram. Which arrow best represents the direction of the acceleration at point B (the highest point)?

Accepted Answer

Arrow pointing vertically downward

Question 4

Two displacement vectors of magnitudes 21 cm and 79 cm are subtracted. Which one of the following is the ONLY possible choice for the magnitude of the resultant?

Accepted Answer

$$58\ \mathrm{cm}$$

Question 5

A ball is thrown vertically upward from the surface of the earth. Which of the following quantities is (are) zero when the ball has reached the maximum height? (1) the speed of the ball; (2) the velocity of the ball; (3) the acceleration of the ball.

Accepted Answer

None of the above

Question 6

An object is thrown upward at an angle of $$35^{\circ}$$ above the ground, eventually returning to earth. Is there any place along the trajectory where the velocity and acceleration are perpendicular?

Accepted Answer

No, there is no such a point.

Question 7

From the same height (and at the same time), one ball is dropped and another ball is fired horizontally. Which will hit the ground first?

Accepted Answer

They both hit at the same time

Question 8

A bullet is fired from a rifle that is held 2.1 m above the ground in a horizontal position. The initial speed of the bullet is 500 m/s. Neglecting air resistance, just before the bullet hits the ground, its speed is:

Accepted Answer

Greater than 500 m/s

Question 9

Which one of the following situations is NOT possible?

Accepted Answer

A body travels with a constant velocity and a time-varying acceleration.

Question 10

During which interval(s) of the graph does the object travel equal distances in equal times?

Accepted Answer

0 to 2 s

Question 11

How far does the object move in the interval from $$t = 0 to$$ $$t = 2 s$$, given the velocity-time graph?

Accepted Answer

$$10\ \mathrm{m}$$

Question 12

What is the acceleration of the object in the interval from $$t = 5 s to$$ $$t = 6 s$$, given the velocity-time graph?

Accepted Answer

$$-10\ \mathrm{m/s^2$}$$

Question 13

A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car covers a distance of 2.0 meters. How much distance will the car cover during the third second of its motion?

Accepted Answer

$$8.0\ \mathrm{m}$$

Question 14

A shell is fired horizontally from the top of an 80 m high cliff and strikes the ground 1330 m from the base of the cliff. What is the initial speed of the shell?

Accepted Answer

$$166\ \mathrm{m/s}$$

Question 15

An eagle is flying horizontally at $$5\ \mathrm{m/s}$$ with a fish in its claws. It accidentally drops the fish. How much time passes before the fish's speed triples?

Accepted Answer

$$3.0\ \mathrm{s}$$

Question 16

Which of the following kinematic equations can be used to find the displacement $$x of an $$object under constant acceleration $$a$$, given initial velocity $$v_0$$ and time $$t$$?

Accepted Answer

$$x = v_0$ t + \frac{1}{2} a t^2$

Question 17

A car accelerates from rest at a constant rate $$a. $$Which equation gives the velocity after time $$t$$?

Accepted Answer

$$v = v_0$ + a t$$

Question 18

A projectile is launched at an angle $$	heta$$ above the horizontal with initial speed $$v_0. $$What is the formula for its maximum height?

Accepted Answer

$$h_{max} = \frac{v_0$^2 \sin^2$ 	heta}{2g}$$

Question 19

A ball is thrown upward with initial velocity $$v_0. $$What is its velocity when it returns to the original launch height (neglecting air resistance)?

Accepted Answer

$$-v_0$

Kinematics and Projectile Motion: PHYS 1111 Practice Test 1 Study Guide

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