The movement of the body is given by the equation x 60 + 5t-10t ^ 2. initial speed =, acceleration =, movement in 1s =?

x (t) = 60 + 5 * t – 10 * t ^ 2.

t = 1 s.

V0 -?

a – ?

S -?

The dependence of the coordinate of the body on time x (t) when moving with constant acceleration has the form: x (t) = x0 + V0 * t – a * t ^ 2/2, where x0 is the initial coordinate of the body, V0 is the initial velocity of the body, a – acceleration of movement, t – movement time.

For the dependence x (t) = 60 + 5 * t – 10 * t ^ 2, the initial coordinate of the body is x0 = 60, the initial velocity of the body is V0 = 5, the acceleration is a = 20. Since the acceleration is preceded by the sign “-” the body is inhibited.

S = x0 – x.

S = 60 – 60 – 5 * t + 10 * t ^ 2 = 10 * t ^ 2- 5 * t.

S = 10 * (1) ^ 2- 5 * 1 = 5 m.

Answer: x0 = 60, V0 = 5, a = 20, S = 5 m.