NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Physics
- Chapter
- Motion in One Dimension
NTA Abhyas 2020 · Physics · Motion in One Dimension
A car accelerates from rest at a constant rate of 2ms^ - 2 for some...
A car accelerates from rest at a constant rate of for some time. Then, it retards at a constant rate of and comes to rest. If the total time for which it remains in motion is , Then the total distance travelled is
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
Using we find that if is doubled,~~will be halved.
If& is the time for accelerations, then is the time for retardation.
Now,
or~
S = \dfrac{1}{2} \times 2 \times 2 \times 2 + \dfrac{1}{2} \times 4 \times 1 \times 1 = \left(4 + 2\right)m = 6m