The body moving with acceleration a = 1.5 m / s, for a time interval of 4 s, made a displacement

The body moving with acceleration a = 1.5 m / s, for a time interval of 4 s, made a displacement, modulus 24 m. Find the modulus of the initial velocity of the body.

To find the required modulus of the initial velocity of motion of a given body, we use the formula: S = Vn * t + a * t ^ 2/2, whence we express: Vn * t = S – a * t ^ 2/2 and Vn = (S – a * t ^ 2/2) / t.

Values of variables: S – displacement modulus (S = 24 m); a – constant acceleration (a = 1.5 m / s2); t – time interval (t = 4 s).

Let’s perform the calculation: Vн = (S – a * t ^ 2/2) / t = (24 – 1.5 * 4 ^ 2/2) / 4 = 3 m / s.

Answer: The module of the initial speed was 3 m / s.