Select all correct answers. For constant positive acceleration the following sta

Question

Select all correct answers. For constant positive acceleration the following statements about the shape and slope of the position , velocity and acceleration as functions of time t are correct (see Ch 2 sheet 5'):


1 x(t) has a slope which increases all the time
2 a(t) is expected to have a slope which = 0
3 v(t) has a slope which is positive and constant in time
4 v(t) is constant in time
5 x(t) has a shape in time which is quadratic and concave upward
6 x(t) has a slope which is constant in time
7 a(t) is expected to increase with time

Explanation / Answer

Acceleration is given by
(a) slope of v(t)
or
(b) rate of change of slope of x(t)

1. Slope of x(t) may not increase constantly all the time. So, this may not give constant acceleration.
2. This indicates that a(t) is constant, but we can't say whether it is positive or not
3. Since slope is given to be positive and constant, there will be a positive constant acceleration.
4. Acceleration is 0
5. x(t)is said to be of quadratic form, i.e., of the form at^2 + bt + c, where 'a' gives acceleration.
Since it is said that it is concave upward, a is positive. So, it has constant acceleration
6. Constant slope indicates constant velocity, which is 0 acceleration
7. Acceleration is not constant as it is given that it increases with time.

So, correct answers are 3&5

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.