An object is moving along x axis starting from the origin at t = 0. Its motion i

Question

An object is moving along x axis starting from the origin at t = 0. Its motion is described by the x vs. t graph. Find the displacement of the object from t = 0 until t = 6 s. Find the distance passed by the object from t = 0 until t = 6 s. Find the average speed of the object from t = 0 until t = 6 s. Find the average acceleration of the object from t = 0 until t = 6 s. Find the instantaneous velocity at t = 3 s. A student on the roof throws a ball to a friend on the ground. If the initial velocity of the ball is 15 m/s at 60 degree above the horizontal and the ball is caught 3s after the toss, what is the height of the building with respect to the catcher? Find the speed of the ball at the moment it is caught. Rain is falling vertically at a constant speed of 7m/s. At what angle from the vertical do the raindrops appear to the driver of a car traveling on a horizontal road with a speed of 40km/h?

Explanation / Answer

1.)

a.) displacement = 0 m

b.)distance travelled = 2+4+2 = 8 m

c.) average speed = distance/time = 8/6 = 1.33 m/s

d.) avg velocity = 0

avg acceleration = 0 m/s^2

e.) velocity at t= 3 sec

velocity is constant through t=1 to t=5

displacement = 4 m

velocity at t= 3 = 4/4 = 1 m/s

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