Find the unknowns given time, acceleration, and distanceĮxample problem: An car accelerates at n m/s² for m seconds and it traveled s meters. Then time is found, find the initial velocity:Ĭase 10. Solution: It is also a complicated case, there we again need to solve the quadratic equation to find the time. Determine the initial speed and the time. Find the unknowns given final velocity, acceleration, and distanceĮxample problem: An car accelerates at n m/s² for m meters until it reaches m m/s.
We need to use the kinematic equations like so:Ĭase 9. Solution: Again we do not know the initial velocity. Determine the initial speed and the distance traveled. Find the unknowns given final velocity, time, and accelerationĮxample problem: An car accelerates at n m/s² for t seconds until it reaches m m/s. Here it is easier to find the initial velocity first, then plug it into the second equation. To solve the problem, we need to use the following form of the kinematic equations: Also, we will get a negative value for acceleration, meaning that the car decelerates. Solution: Now the initial velocity is unknown and the final velocity is zero. Determine the initial speed and the deceleration. Find the unknowns given final velocity, time, and distanceĮxample problem: An car decelerates for n seconds until it finally stops after traveling the distance of m meters. After that, you can plug the time into the next equation to find the final velocity:Ĭase 7. Of course, to find the time you need to pick up the positive root. However, this case is quite complicated, because the only way to find the time is to solve the quadratic equation: Solution: Yet again the initial velocity is zero. Determine the liftoff speed and the time. Find the unknowns given initial velocity, acceleration, and distanceĮxample problem: An airplane accelerates down a runway at n m/s² until it finally lifts off the ground after traveling the distance of m meters.
Note that here it is easier to find the final velocity first, then plug it into the second equation. The kinematic equations for this case are: Solution: In this problem, the initial velocity is zero as well. Determine the liftoff speed and the acceleration. Find the unknowns given initial velocity, time, and distanceĮxample problem: An airplane accelerates down a runway for n seconds until it finally lifts off the ground after traveling the distance of m meters. Here it is easier to find the time first, then plug the time into the second equation. And we use the kinematic equations like so: Solution: As usual we know that the initial velocity is zero. Find the unknowns given initial velocity, final velocity, and distanceĮxample problem: An airplane accelerates down a runway until it finally lifts off the ground having a speed of n m/s after traveling the distance of m meters. So, our kinematic equations will be:Ĭase 4. Solution: The same case with the initial velocity being zero. Determine the time and the distance traveled before takeoff. Find the unknowns given initial velocity, final velocity, and accelerationĮxample problem: An airplane accelerates down a runway at n m/s² until it finally lifts off the ground having a speed of m m/s. To solve the problem, we need to rearrange our kinematic equations like so:Ĭase 3. Solution: Again we know that the initial velocity is zero. Determine the acceleration and the distance traveled before takeoff. Find the unknowns given initial velocity, final velocity, and timeĮxample problem: An airplane accelerates down a runway for n seconds until it finally lifts off the ground having a speed of m m/s. Thus, we can use our kinematic equations as isĬase 2. The problem assumes that an airplane starts from the rest, hence, its initial velocity is zero. Solution: Although the problem specifies only the acceleration and the time, the third parameter is known implicitly.
Determine the final velocity and the distance traveled before takeoff. Find the unknowns given initial velocity, acceleration, and timeĮxample problem: An airplane accelerates down a runway at n m/s² for m seconds until it finally lifts off the ground. Below are ten types of problems along with the solution formulas.
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