Constant acceleration equations Knowledge-Based Practice

Questions

1. 1.

   A sprinter accelerates uniformly along a straight track from an initial velocity of 4.0 m/s to a final velocity of 10.0 m/s over a time interval of 5.0 s. What is the displacement of the sprinter during this interval?

   • A) 20 m
   • B) 30 m
   • C) 35 m
   • D) 70 m
2. 2.

   An electric cart moving along a straight track with an initial velocity of 8.0 m/s experiences a constant acceleration of -1.5 m/s² for a duration of 6.0 s. What is the final velocity of the cart at the end of this time interval?

   • A) 1.0 m/s
   • B) -1.0 m/s
   • C) -9.0 m/s
   • D) 17.0 m/s
3. 3.

   A sled moves along a straight path with a constant acceleration of 1.5 m/s² and covers a displacement of 52 m in a time interval of 4.0 s. What was the initial velocity of the sled at the beginning of this interval?

   • A) 10 m/s
   • B) 13 m/s
   • C) 7.0 m/s
   • D) 16 m/s
4. 4.

   A vehicle traveling along a straight road accelerates uniformly at 2.5 m/s² for 6.0 s, reaching a final velocity of 22 m/s. What is the displacement of the vehicle during this 6.0 s interval?

   • A) 42 m
   • B) 87 m
   • C) 132 m
   • D) 177 m
5. 5.

   A particle travels along a straight path with an initial velocity of 5.0 m/s and covers a displacement of 44 m in 4.0 s under uniform acceleration. What is the magnitude of the particle's acceleration?

   • A) 1.5 m/s²
   • B) 2.0 m/s²
   • C) 5.5 m/s²
   • D) 3.0 m/s²
6. 6.

   A car traveling along a straight track with an initial velocity of 6.0 m/s accelerates uniformly at 2.0 m/s² over a displacement of 16 m. What is the final velocity of the car at the end of this displacement?

   • A) 8.0 m/s
   • B) 12 m/s
   • C) 10 m/s
   • D) 14 m/s
7. 7.

   A motorcycle traveling along a straight track with an initial velocity of 12 m/s accelerates uniformly at 3.5 m/s² until it reaches a final velocity of 26 m/s. How much time is required for this acceleration?

   • A) 2.0 s
   • B) 3.5 s
   • C) 4.0 s
   • D) 7.4 s
8. 8.

   A truck traveling along a straight road decelerates uniformly at a rate of 3.0 m/s² and comes to a complete stop in a distance of 54 m. What was the initial speed of the truck when the brakes were first applied?

   • A) 12 m/s
   • B) 27 m/s
   • C) 36 m/s
   • D) 18 m/s
9. 9.

   A train traveling along a straight track decelerates uniformly from an initial velocity of 35 m/s to a final velocity of 15 m/s over a displacement of 250 m. What is the time required for the train to undergo this change in velocity?

   • A) 10 s
   • B) 12.5 s
   • C) 5 s
   • D) 25 s
10. 10.

    An object moves along a straight track with an initial velocity of 5 m/s and undergoes a uniform acceleration of 3 m/s² for a duration of 4 s. What is the displacement of the object during this time interval?

    • A) 44 m
    • B) 68 m
    • C) 24 m
    • D) 17 m
11. 11.

    A car traveling along a straight road accelerates uniformly from an initial velocity of 14 m/s to a final velocity of 26 m/s over a displacement of 80 m. What is the magnitude of the car's acceleration?

    • A) 0.90 m/s2
    • B) 1.5 m/s2
    • C) 3.0 m/s2
    • D) 6.0 m/s2

Answers and step-by-step solutions appear after you finish the test.