Final answer:
To calculate the displacement and velocity at different times for a ball thrown straight up, use the formulas of motion.
Step-by-step explanation:
To calculate the displacement and velocity at different times for a ball thrown straight up, we can use the formulas of motion.
The displacement at each time is the difference between the initial position and the final position of the ball. Since the point of release is taken as Yo = 0, the displacement at time t is given by:
Displacement = Yo + Vyo*t - 0.5*g*t^2
where Vyo is the initial velocity in the upward direction and g is the acceleration due to gravity. In this case, Vyo is 15.0 m/s and g is -9.8 m/s^2 (negative because it acts downward).
The velocity at each time is the derivative of displacement with respect to time. So, the velocity at time t is given by:
Velocity = Vyo + g*t
Using these formulas, we can calculate the displacement and velocity at the given times as follows:
- At 0.500 s: Displacement = 7.65 m, Velocity = 10.0 m/s
- At 1.00 s: Displacement = 10.3 m, Velocity = 5.0 m/s
- At 1.50 s: Displacement = 6.9 m, Velocity = 2.0 m/s
- At 2.00 s: Displacement = 5.0 m, Velocity = 0 m/s