Page Lab 3a Study of Acceleration Your name Watch lecture 1.2b before attempting

Question

Page Lab 3a Study of Acceleration Your name Watch lecture 1.2b before attempting to do this lab. 1. Define acceleration. What is the unit for measuring acceleration? 2. A cart starts moving with a velocity vi and attains a velocity v2 in a time t. Write down a relation connecting Vi, V2, t and a, the acceleration of the car. 3. If a car has an initial velocity 2 m/s and changes its velocity to 10 m/s in 4 s, what is its acceleration? 4. If a car start from rest (initial velocity 0) and moves with a uniform acceleration a, it will attain a velocity v at the end of some time t. An equation for v then can be written as: v at If a graph of velocity (v) versus time () is drawn, what will ts slope represent?

Explanation / Answer

1] Acceleration is the rate of change of velocity with respect to time. It measures how much the velocity of an object changes over a given time. It is measured in m/s2.

2] Acceleration is given by:

a = (v2 - v1)/t

3] Here, v2 = 10 m/s , v1 = 2 m/s and t = 4s

therefore, acceleration is:

a = [10 - 2]/4 = 2 m/s2.

4] v = u + at

here, u = 0 m/s [starting from rest]

therefore, v = at

so, if velocity is plotted on the y axis and time is plotted on the x axis, the graph will be of the form:

y = mx+c whose slope is m

so, in this case, the slope of velocity vs time graph will give the acceleration.

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