Initial value problems and motion

Answer Key - Grade 12 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   A ball is tossed up with a(t) = −10 m/s², v(0) = 20 m/s and s(0) = 16 m (a rounded model). Ari integrates twice. What is s(1), in meters?

   31
2. 2.

   A ball is tossed up with a(t) = −10 m/s², v(0) = 24 m/s and s(0) = 5 m (a rounded model). Bo integrates twice. What is s(2), in meters?

   33
3. 3.

   A ball is tossed up with a(t) = −10 m/s², v(0) = 15 m/s and s(0) = 40 m (a rounded model). Esme integrates twice. What is s(2), in meters?

   50
4. 4.

   A ball tossed up has a(t) = −10 m/s², v(0) = 30 m/s and s(0) = 5 m (a rounded model). Kira finds its greatest height. What is it, in meters?

   50
5. 5.

   A ball tossed up has a(t) = −10 m/s², v(0) = 40 m/s and s(0) = 2 m (a rounded model). Luz finds its greatest height. What is it, in meters?

   82
6. 6.

   A ball tossed up has a(t) = −10 m/s², v(0) = 10 m/s and s(0) = 12 m (a rounded model). Milo finds its greatest height. What is it, in meters?

   17
7. 7.

   dy/dx = 2/x for x > 0, and y(e) = 5. Pia finds the particular solution. What is y(e⁴)?

   11
8. 8.

   dy/dx = 3/x for x > 0, and y(e) = 2. Ren finds the particular solution. What is y(e⁶)?

   17
9. 9.

   dy/dx = 4/x for x > 0, and y(e) = -3. Tala finds the particular solution. What is y(e³)?

   5
10. 10.

    dy/dx = 5/x for x > 0, and y(e) = 10. Zee finds the particular solution. What is y(e²)?

    15