One-Dimensional Motion
A runner travels 80 m east and then 30 m west. What is the displacement?
50 m east
The slope of a velocity-time graph represents this quantity.
Acceleration
Motion in which acceleration remains constant.
Uniformly accelerated motion
What is the velocity of an object at its highest point when thrown vertically upward?
What is the acceleration of a projectile in the horizontal direction if air resistance is neglected?
0 m/s2
A car travels 120 m in 10 s. What is its average speed?
12 m/s
The area under a velocity-time graph represents this quantity.
Displacement
Give the equation used to find final velocity when initial velocity, acceleration, and time are known.
vf=vi+at
A ball is thrown upward at 19.6 m/s. How long does it take to reach maximum height?
2 s
A projectile is launched at 20 m/s at 30∘. Find its horizontal velocity component
17.3 m/s
An object changes its velocity from 5 m/s to 25 m/s in 4 s. Find its acceleration.
5 m/s2
An object moves at a constant velocity of 8 m/s for 5 s. Find its displacement.
40 m
A car moving at 20 m/s accelerates at 2 m/s2 for 5 s. Find its final velocity and displacement.
vf=30 m/s
Δx=125 m
A ball is dropped from a height of 45 m. Find its velocity just before hitting the ground.
29.7 m/s downward
A projectile has an initial vertical velocity of 19.6 m/s. How long does it take to reach its highest point?
2 s
A car travels 100 m east, then 100 m west. What are its total distance and displacement?
A velocity-time graph shows a constant velocity of 10 m/s for 8 s. What is the area under the graph?
80 m
An object starts from rest and travels 100 m with an acceleration of 5 m/s2 . Find its final velocity.
vf= 31.6 m/s
A ball is thrown upward at 29.4 m/s. Find its maximum height.
44.1 m
A projectile is launched horizontally at 15 m/s from a height of 20 m. How long will it take to reach the ground?
t≈2.02 s
A car travels 60 m east in 5 s and then 40 m west in 5 s. Determine its average velocity
2 m/s east
A velocity-time graph forms a triangle with a base of 10 s and a maximum velocity of 20 m/s. Find the displacement.
100 m
A car moving at 30 m/s comes to rest after traveling 75 m. Find its acceleration.
a=−6 m/s2
A stone is thrown upward at 24.5 m/s. Find its total time in the air if it returns to the same level.
5.0 s
A projectile is launched at 25 m/s at 37∘. Determine its horizontal and vertical velocity components.
vx = 20m/s
vy= 15 m/s