A particle travelling along a straight line starts with a velocity of metres per second and its speed increases per second by a metres. The particle travels 10 metres is 2 second and 28 metres is 4 seconds. Find u and a.

(If the distance travelled in t seconds is s metres, then)

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Solution

Initial velocity of the particle = u m/sec

Rate of increase in speed = a m/sec

We know that distance travelled, s in time, t is given by:

Distance travelled in 2 seconds = 10 m

Distance travelled in 4 seconds = 28 m

Subtracting equation (1) from equation (2):

a = 2

From equation (1), we get:

u = 3

∴ u = 3 and a = 2

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A particle travelling along a straight line starts with a velocity of metres per second and its speed increases per second by a metres. The particle travels 10 metres is 2 second and 28 metres is 4 seconds. Find u and a. (If the distance travelled in t seconds is s metres, then)

A particle travelling along a straight line starts with a velocity of metres per second and its speed increases per second by a metres. The particle travels 10 metres is 2 second and 28 metres is 4 seconds. Find u and a.

(If the distance travelled in t seconds is s metres, then)