A collection of solved physics problems on velocity and uniform acceleration, with detailed solutions and tutorials. Explore solutions and tutorials available on the main site.
From rest, a car accelerates at \(8\ \text{m/s}^2\) for 10 seconds.
a) What is the position of the car at the end of the 10 seconds?
b) What is the velocity of the car at the end of the 10 seconds?
Solution to Problem 1
With an initial velocity of \(20\ \text{km/h}\), a car accelerates at \(8\ \text{m/s}^2\) for 10 seconds.
a) What is the position of the car at the end of the 10 seconds?
b) What is the velocity of the car at the end of the 10 seconds?
Solution to Problem 2
A car accelerates uniformly from \(0\) to \(72\ \text{km/h}\) in \(11.5\) seconds.
a) What is the acceleration of the car in \(\text{m/s}^2\)?
b) What is the position of the car when it reaches \(72\ \text{km/h}\)?
Solution to Problem 3
An object is thrown straight down from the top of a building at \(20\ \text{m/s}\). It hits the ground at \(40\ \text{m/s}\).
a) How high is the building?
b) How long was the object in the air?
Solution to Problem 4
A train brakes from \(40\ \text{m/s}\) to a stop over \(100\ \text{m}\).
a) What is the train's acceleration?
b) How much time does it take to stop?
Solution to Problem 5
A boy on a bicycle increases his velocity from \(5\ \text{m/s}\) to \(8\ \text{m/s}\) in 10 seconds.
a) What is the acceleration of the bicycle?
b) What distance was covered during the 10 seconds?
Solution to Problem 6
a) How long does it take an airplane to take off if it needs to reach \(350\ \text{km/h}\) over \(600\ \text{m}\) (starting from rest)?
b) What is the airplane's acceleration over the \(600\ \text{m}\)?
Solution to Problem 7
Starting \(20\ \text{m}\) left of the origin at \(10\ \text{m/s}\), an object accelerates right at \(4\ \text{m/s}^2\) for 5 seconds.
What is its final position?
Solution to Problem 8
What is the minimum stopping distance (in meters) for an airplane landing at \(360\ \text{km/h}\) with deceleration \(-10\ \text{m/s}^2\)?
Solution to Problem 9
To approximate a well's depth, a rock is dropped. After \(8\ \text{s}\), the splash is heard (speed of sound = \(340\ \text{m/s}\)).
What is the well's height?
Solution to Problem 10
A rock thrown straight up reaches \(10\ \text{m}\) high.
a) How long was it in the air?
b) What was its initial velocity?
Solution to Problem 11
A car accelerates from rest at \(1.0\ \text{m/s}^2\) for \(20.0\ \text{s}\), moves at constant speed for \(0.5\ \text{h}\),
then decelerates to stop in \(30.0\ \text{s}\). Find the total distance covered.
Solution to Problem 12