07-18-2017, 05:51 PM
Voted
At t=0 a ball has a velocity of 2m/s and is at the origin. When t > 0 where t is time measured in seconds, a force accelerates the ball at a rate of 2t m/s² (so at t = 2, the ball's acceleration is 4m/s²). Find the displacement in m of the ball at t = 3.
Hint 1:
[spoiler]Acceleration is the rate of change of velocity. Velocity is the rate of change of displacement.[/spoiler]
Hint 2:
[spoiler]Use calculus. Remember +c. (v =2 in this case, not 0)[/spoiler]
Answer:
[spoiler]15[/spoiler]
At t=0 a ball has a velocity of 2m/s and is at the origin. When t > 0 where t is time measured in seconds, a force accelerates the ball at a rate of 2t m/s² (so at t = 2, the ball's acceleration is 4m/s²). Find the displacement in m of the ball at t = 3.
Hint 1:
[spoiler]Acceleration is the rate of change of velocity. Velocity is the rate of change of displacement.[/spoiler]
Hint 2:
[spoiler]Use calculus. Remember +c. (v =2 in this case, not 0)[/spoiler]
Answer:
[spoiler]15[/spoiler]