Problem 5. A police officer measures the velocity of a car using a radar gun. Assume that the velocity of the driver is decreasing. Let t denote the time in seconds that has elapsed since the police officer started taking measurements. Let v(t) denote the velocity of the car at time t in metres/second. The police officer's measurements are tabulated in Table 1. 1. Calculate upper and lower estimates for the change in the car's position over the time interval [0, 7]. 2. Calculate upper and lower estimates for the total distance travelled by the car over the time interval [0, 7]. t (seconds) 0 3 5 6 7 v(t) (metres/second) 40 20 5 -5 -10 Table 1: The police officer's measurements