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Kinematics Equations and Projectile Motion
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Kinematics Equations and Projectile Motion
Kinematics Equations and Projectile Motion
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1
Question
What is the kinematics equation that relates final velocity, initial velocity, acceleration, and time under constant acceleration?
Page 1
Answer
$v = v_i + a t$
2
Question
What kinematics equation expresses displacement using initial velocity, time, and constant acceleration?
Page 1
Answer
$s = v_i t + \frac{1}{2} a t^2$
3
Question
What kinematics equation connects squared velocities, acceleration, and displacement without time?
Page 1
Answer
$v^2 = v_i^2 + 2 a s$
4
Question
What kinematics equation uses average velocity to find displacement given initial and final velocities and time?
Page 1
Answer
$s = \frac{v_i + v}{2} t$
5
Question
What kinematics equation expresses displacement using final velocity, time, and constant acceleration?
Page 1
Answer
$s = v t - \frac{1}{2} a t^2$
6
Question
What is the vertical component of initial velocity for a projectile launched at speed v and angle θ above horizontal?
Page 2
Answer
$v_{iy} = v \sin \theta$
7
Question
What is the horizontal component of initial velocity for a projectile launched at speed v and angle θ?
Page 2
Answer
$v_{ix} = v \cos \theta$
8
Question
For projectile motion on flat ground, what is the total time of flight given launch speed v and angle θ?
Page 2
Answer
$t = \frac{2 v \sin \theta}{g}$
9
Question
What is the maximum height for a projectile launched with vertical component v_y0 under gravity?
Page 2
Answer
$h_{max} = \frac{v_{y0}^2}{2 g}$
10
Question
What is the horizontal range for a projectile on flat ground launched at v and θ?
Page 2
Answer
$R = \frac{v^2 \sin 2\theta}{g}$
11
Question
A high-powered racing car accelerates from rest at 7 m/s². How fast after 10 s? A) 35 m/s B) 70 m/s C) 77 m/s D) 140 m/s
Page 1
Answer
B) 70 m/s
12
Question
Toboggan accelerates at 2.8 m/s² from 1.4 m/s. Speed at 2.5 m later? A) 1.4 m/s B) 2.8 m/s C) 4 m/s D) 5.6 m/s
Page 1
Answer
C) 4 m/s
13
Question
Space vehicle slows from 7580 m/s with a=-78.4 m/s² to 1520 m/s. Time taken? A) 77.3 s B) 7580 s C) 1520 s D) 50 s
Page 1
Answer
A) 77.3 s
14
Question
Truck at 80 km/h decelerates at 1.4 m/s² opp to 20 km/h. Distance? A) 100 m B) 165.3 m C) 200 m D) 22 m
Page 1
Answer
B) 165.3 m
15
Question
Physics book dropped from 530 m CN Tower, negligible air resistance. Time to ground? A) 5 s B) 10.4 s C) 53 s D) 7.3 s
Page 1
Answer
B) 10.4 s
16
Question
Electron accelerates 5.0 cm from rest to 10% speed of light (3×10^8 m/s). Acceleration? A) 9×10^14 m/s² B) 9×10^15 m/s² C) 3×10^7 m/s² D) 1.5×10^15 m/s²
Page 1
Answer
B) 9×10^{15} m/s² [forward]
17
Question
Plane coasts at 40 m/s then accelerates 4.90 m/s² for 5.2 s. Final speed? A) 45 m/s B) 65.48 m/s C) 86 m/s D) 20 m/s
Page 1
Answer
B) 65.48 m/s
18
Question
Biker at 80 km/h in 60 km/h zone brakes at 2.22 m/s² opp. Distance to legal speed? A) 48.61 m B) 80 m C) 22 m D) 166 m
Page 1
Answer
A) 48.61 m
19
Question
Spiderman crawls at 0.50 m/s, accelerates 2.3 m/s² to catch Spiderwoman 56 m ahead. Final speed on reaching? A) 16.06 m/s B) 2.3 m/s C) 0.5 m/s D) 10 m/s
Page 1
Answer
A) 16.06 m/s
20
Question
How much time does Spiderman take to reach Spiderwoman 56 m ahead accelerating at 2.3 m/s² from 0.50 m/s?
Page 2
Answer
6.77 s
21
Question
Stone dropped past 2.0 m window whose top is 20 m below drop point. Time to pass window? A) 0.1 s B) 2 s C) 0.2 s D) 20 s
Page 2
Answer
A) 0.1 s
22
Question
Car accelerates from rest at 6 m/s². Distance between 10 s and 15 s? A) 375 m B) 450 m C) 300 m D) 75 m
Page 2
Answer
A) 375 m
23
Question
Skier from 3.5 m/s to 11.4 m/s in 4.2 s. Average speed? A) 7.45 m/s B) 3.5 m/s C) 11.4 m/s D) 14.9 m/s
Page 2
Answer
A) 7.45 m/s
24
Question
Skier accelerates from 3.5 m/s to 11.4 m/s in 4.2 s. Distance traveled? A) 31.29 m B) 47.8 m C) 15 m D) 4.2 m
Page 2
Answer
A) 31.29 m
25
Question
Object thrown horizontally 10 m/s from 90 m building. Distance from base to impact? A) 42.9 m B) 90 m C) 10 m D) 130 m
Page 2
Answer
A) 42.9 m
26
Question
Object thrown horizontally 18 m/s hits 100 m from cliff base. Cliff height? A) 151.48 m B) 100 m C) 18 m D) 64 m
Page 2
Answer
A) 151.48 m
27
Question
Horizontal throw 15 m/s takes 5.5 s to ground. Building height? A) 148.23 m B) 82.5 m C) 15 m D) 30 m
Page 2
Answer
A) 148.23 m
28
Question
Cannon ball 120 m/s at 30° above horizontal on flat field. Time of flight? A) 12.24 s B) 120 s C) 6 s D) 60 s
Page 2
Answer
A) 12.24 s
29
Question
Cannon ball 120 m/s at 30° on flat. Horizontal range? A) 1272.02 m B) 120 m C) 600 m D) 240 m
Page 2
Answer
A) 1272.02 m
30
Question
Cannon 21 m/s at 45° , safety net at same height. Distance to net? A) 45 m B) 21 m C) 9 m D) 30 m
Page 2
Answer
A) 45 m