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A car starts from rest and accelerates uniformly at the rate of 1m/s sq. for 5sec itthen maintains a constant velocity for 30sec . Then brakes are applied and the car is uniformly retarded to the rest in 10sec . Find the maxinum velocity attained by the car and the total distance travelled by it?
Ref: https://edurev.in/question/497269/A-car-starts-from-rest-and-accelerates-uniformly-at-the-rate-of-1ms-sq-for-5sec-itthen-maintains-a-

1. Acceleration:
𝑣 = 𝑎𝑡𝑎 – maximum velocity
𝑡𝑎 – time of acceleration
𝑎 – acceleration

Distance travelled:
Question with solution: Motion, Class 9

2. Uniform motion: Distance travelled:
𝑙𝑢 = 𝑣 ∗ 𝑡𝑢 = 𝑎𝑡𝑎𝑡𝑢
𝑡𝑢 – time of uniform motion

3. Deceleration
𝑣 = 𝑎′𝑡𝑑 
𝑡𝑑 – time of deceleration
𝑎′ = 𝑣/𝑡𝑑 

Distance travelled:
Question with solution: Motion, Class 9

Total distance:
 Question with solution: Motion, Class 9

Maximum velocity:
Question with solution: Motion, Class 9

Answer: 𝑙 = 187.5 𝑚, 𝑣𝑚𝑎𝑥 = 5 𝑚/s

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FAQs on Question with solution: Motion, Class 9

1. What is motion?
Ans. Motion refers to the change in position of an object with respect to time and a reference point. It can be described in terms of speed, velocity, and acceleration.
2. What are the different types of motion?
Ans. There are three main types of motion: 1. Translational motion: When an object moves along a straight line or path, it is called translational motion. 2. Rotational motion: When an object spins or rotates about a fixed axis, it is called rotational motion. 3. Vibrational motion: When an object oscillates or moves back and forth about a mean position, it is called vibrational motion.
3. What is the difference between speed and velocity?
Ans. Speed and velocity both involve the rate of change of position, but they differ in direction. Speed is a scalar quantity that measures how fast an object is moving without considering its direction. Velocity, on the other hand, is a vector quantity that includes both the speed and direction of an object's motion.
4. How is acceleration related to motion?
Ans. Acceleration is the rate at which an object changes its velocity. It can be either positive or negative, depending on whether the object is speeding up or slowing down. Acceleration is calculated by dividing the change in velocity by the time taken.
5. What is the difference between uniform and non-uniform motion?
Ans. In uniform motion, an object covers equal distances in equal intervals of time. The speed remains constant throughout the motion. In non-uniform motion, an object covers unequal distances in equal intervals of time. The speed varies during the motion, either increasing or decreasing.
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