To calculate an object’s velocity, acceleration, and distance traveled from a graph of velocity versus time.

As shown,(Figure 1) the velocity v of a sports car is graphed as a function of time t. Use the graph to answer the questions.

 

 

 

Maximum velocity attained by the sports car

Find the sports car’s maximum velocity, vmax, during the 10-s interval depicted in the graph.

Express your answer to two significant figures in meters per second.

 

Vmax = 55m/s

 

The time interval during which acceleration is positive

During which time interval is the acceleration positive?

Select the best answer.

 

t=0 to t=4

 

Maximum acceleration of the car

Find amax, the magnitude of the sports car’s maximum acceleration.

Express your answer to two significant figures in meters per squared second.

 

a max = 30 m/s^2

 

Minimum magnitude of the sports car’s acceleration

Find amin, the minimum magnitude of the sports car’s acceleration.

Express your answer to two significant figures in meters per squared second.

 

a min = 0 m/s^2

Distance traveled by the car during the first two seconds of its motion

Find the distance r0,2 traveled by the car between t=0s and t=2s.

Express your answer to two significant figures in meters.

 

r 0,2 = 55m