A ball is thrown vertically downwards at 2 m/s from the top of a high building. Given that the distance, s meters, travelled by the ball in the first t seconds ofter being thrown is s = 2t + 5t^2 a) Calculate
i) the distance, in meters, travelled by the ball in the first 3 seconds.
ii)the distance, in meters travelled by the ball in the third second.
iii) the time, in second, take to travel in first 7 meters.
b)i) Obtain an expression, in terms of t, for the speed, in m/s,
at which the ball is traveling t seconds after being thrown.
ii) Calculate the speed, in m/s, of the ball 2 1/4 seconds after being thrown.
iii) Find the time, in seconds, taken to reach a speed of 17 m/s.
c) Find the acceleration, in m/s^2, of the ball after t seconds.
​