11th grade Acceleration worksheet

Acceleration

Grade 11 Science Worksheet - Challenge Me

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

1. 1.

   East is positive. A cart starts at 2 m/s, accelerates at 3 m/s² for 4 s, then at -5 m/s² for 3 s. What is its final velocity, Ari?
2. 2.

   East is positive. A cart starts at -4 m/s, accelerates at 2.5 m/s² for 6 s, then at -1.5 m/s² for 4 s. What is its final velocity, Bo?
3. 3.

   East is positive. A cart starts at 10 m/s, accelerates at -2 m/s² for 3 s, then at -4 m/s² for 5 s. What is its final velocity, Esme?
4. 4.

   Two cars travel at 25 m/s, 30 m apart. The lead car brakes at 6.0 m/s²; the driver behind reacts after 0.70 s and brakes the same. Do they collide, Kira?

   • No: both brake equally, so the gap stays 30 m
   • Yes: the follower needs 69.6 m but 30 m is free
   • Yes: the 0.70 s delay uses up the whole 30 m gap
   • No: the gap shrinks by 17.5 m, leaving 12.5 m
5. 5.

   A town says cutting the limit from 50 to 40 km/h cuts total stopping distance by only 20%. With 0.75 s reaction time and 6.0 m/s² braking, judge it, Milo.

   • Understated: it falls 36%, the braking part alone
   • Correct: 20% less speed means 20% less distance
   • Understated: the total falls about 30%, from 26.5 m to 18.6 m
   • Overstated: it falls 10%, since reaction time is fixed
6. 6.

   Noah says a ball falling at a steady 12 m/s in air has a = 0, so gravity has stopped acting. Judge the claim.

   • Right: a = 0 means that no force is acting on the ball
   • Wrong: a steady speed means that the ball is at rest
   • Wrong: a must stay 9.8 m/s² for as long as gravity acts
   • a = 0 is right, but gravity still acts; drag balances it
7. 7.

   Pia says a sprinter's average acceleration over 10 s, 1.06 m/s², shows how the sprinter speeds up. The sprinter reaches 10 m/s at 2 s and 10.6 m/s at 10 s.

   • Fine: 1.06 m/s² lies between 0 and 10 m/s
   • Misleading: a was 1.06 m/s² early and 5 m/s² later
   • Fine: an average describes each second of the race
   • Misleading: a was 5 m/s² early and under 0.1 m/s² later
8. 8.

   Constant a: a cart reads +6 m/s at t = 1 s and −4 m/s at t = 5 s. When does it turn around, Ren?

   • At t = 3.4 s, 2.4 s after the +6 m/s reading
   • At t = 5 s, the last reading
   • At t = 2.4 s, counting from the clock's zero
   • At t = 3 s, halfway between the readings

9. Read this first

   Braking tests (example data)

   speed (m/s)	distance to stop (m)
   10	8
   15	18
   20	32

10. 9.

    Using the braking table, what is the car's constant deceleration, and how far does it need from 30 m/s, Tala?

    • a = 6.25 m/s²; 72 m from 30 m/s
    • a = 6.25 m/s²; 48 m, scaling the distance with speed
    • a = 12.5 m/s²; 36 m, dropping the factor 2
    • a = 1.25 m/s²; 72 m, from 10 ÷ 8
11. 10.

    Zee looks at a phone for 2.0 s while driving at 25 m/s. Braking would give 7.0 m/s². Which is greater: the distance traveled blind, or the braking distance?

    • The braking distance: 89 m against 50 m of blind travel
    • The blind distance: 50 m against 22 m of braking
    • They are equal, since 25 m/s is used for both
    • The blind distance: 50 m against 44.6 m of braking