If a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation. s(t)=4 t+5 t^2 (a) Find the velocity after 2 seconds. 28 Incorrect: Your answer is incorrect. m/s (b) How long does it take for the velocity to reach 45 m/s?

Given:

By differentiating the equation, we get

→

(a)

The speed will be:

→

(b)

The time taken will be:

→

By subtracting "4" from both sides, we get

→

Thus the above answers are correct.      

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a. 24m/s

b.4.1 s

Explanation:

We are given that

Initial velocity of ball=

a.We have to find the velocity after 2 s.

Differentiate w.r.t t

Substitute t=2

b.

v(t)=45m/s

Substitute the value

Hence, the it takes 4.1 s for the velocity to reach 45 m/s.

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answer: b.

explanation: