Some real-life examples of maximum acceleration: 1. The launch of a rocket: A rocket experiences very high acceleration when launched. The maximum acceleration of a rocket can be 100 times the acceleration of gravity. 2. The acceleration of a car: The weight and engine of a car determines its maximum acceleration. 3. The acceleration of a roller coaster: The design of the coaster determines the maximum acceleration of a roller coaster. Some roller coasters can accelerate up to 5 times the acceleration of gravity.
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1. What is the maximum acceleration of the object in the v-t graph? 2. What is the steepest slope of the v-t graph? 3. What is the acceleration of the object at the point where the v-t graph changes from blue to red? 4. How can you calculate the maximum acceleration of an object from its v-t graph?
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The Correct Answer is (D)
For a particle moving along a straight line position (x), velocity (v), and acceleration (a) of the particle are the time-dependent quantity. \(x\) v/s \(t\), \(v\) v/s \(t\), and \(a\) v/s \(t\) graphs can be plotted to get a clear picture of motion.
Graphical Representation of Motion in a Straight Line
The slope of the position-time (x-t) graph gives average velocity.
The slope of the velocity-time (v-t) graph gives average acceleration.
The area under the velocity-time (v-t) graph gives the displacement.
The area under the acceleration-time (a-t) graph gives velocity.
Average Acceleration
The average acceleration over a time interval is defined as the change of velocity divided by the time interval in which that change occurred.
The SI unit of acceleration is m/s2
The formula for average acceleration is \(a=\frac{v_2-v_1}{t_2-t_1}=\frac{\Delta v}{\Delta t}\)
In the real world, everything is always in motion. Objects move at a variable or a constant speed. When someone steps on the accelerator or applies brakes on a car, the speed of the car increases or decreases and the direction of the car changes. In physics, these changes in velocity or directional magnitude of a moving object are represented by acceleration.
