2. If a particle starts from rest and accelerates according to the graph shown, the particle's velocity at t = 20 s is

A particle moves in a straight line with an acceleration of a = 4t – 30 (m/sec²) where t is in seconds. When 1 = 0, v = 3 m/s, and s = -5 m. Find an equation for the velocity and position of the particle as a function of time. Plot the acceleration, velocity, and position for 0 to 5

Dynamics

The design of the ski slope is as shown in Figure 4.Skier glides at the start speed of 17m/s. Answer each of the following questions.1) Find the time (s) after the skier starts the descent and lands.2) Find the distance d(m).3)As soon as the skier lands, calculate the size (m/s) of the speed along the slope.4) When landing, calculate the speed of the skier and the angle of the slope.