The rate at which an object's velocity changes over time, measured in metres per second squared (m/sΒ²).
How quickly your speed (or direction) is changing. The 'push back' you feel when a car speeds up.
Showing a random 20 of 50 problems.
Example 1
challenge
A drag racer accelerates uniformly from rest and covers 400m in 8.0s. Find (a) the acceleration and (b) the top speed.
Example 2
easy
A car accelerates from 10Β m/s to 30Β m/s in 5Β s. What is the acceleration?
Example 3
easy
An object near Earth's surface is in free fall. What is its acceleration?
Example 4
hard
A car accelerates from rest at a1β=3m/s2 for 4s, then at a2β=2m/s2 for 6s. Find its final velocity and total distance traveled.
Example 5
medium
A roller coaster speeds up uniformly from 5m/s to 25m/s over 40m. Find the acceleration.
Example 6
medium
An object starts from rest and accelerates at 3Β m/s2 for 8Β s. What is the final velocity and distance traveled?
Example 7
medium
A cyclist accelerates uniformly from 4Β m/s to 12Β m/s over 8Β seconds. (a) What is the acceleration? (b) How far does the cyclist travel during this time?
Example 8
easy
Define acceleration in one sentence and state its SI units.
Example 9
hard
An elevator accelerates upward at 1.5m/s2. A passenger of mass 70kg stands on a bathroom scale. What reading does the scale show? (Use g=9.8m/s2.)
Example 10
easy
An object's velocity is zero but its acceleration is nonzero. Give one physical example.
Example 11
medium
From rest at a=6 m/s2, find the distance after 2 s.
Example 12
easy
A car cruises at a steady 30m/s down a straight highway. What is its acceleration?
Example 13
easy
An object's acceleration is constant at β3m/s2 while moving at +12m/s. Find the velocity 2 s later.Opposing acceleration reduces velocity from 12 m/s to 6 m/s after 2 s
Example 14
medium
A car accelerates uniformly from 5 m/s to 25 m/s in 4 s. Find the distance covered.
Example 15
medium
A car at 8 m/s accelerates at 2 m/s2 for 5 s. Find its final velocity.Velocity addition: 8 m/s + 10 m/s gained over 5 s = final velocity
Example 16
medium
A bike at 10m/s accelerates at 1.5m/s2 for 6s. Find the distance traveled.
Example 17
hard
Two sprinters start side-by-side. Sprinter A accelerates from rest at 2m/s2; sprinter B starts 1.5s later from rest at 3m/s2. When does B catch A?
Example 18
easy
A car slows from 30 m/s to 10 m/s in 5 s. Find its acceleration.
Example 19
challenge
An object moves in a circle of radius 2m at a constant speed of 4m/s. Find its acceleration.
Example 20
medium
On a velocity-time graph, a straight line rises from 4m/s at t=0 to 14m/s at t=5s. Find the acceleration and the distance covered.