Question

A race car is driving on the Bonneville Salt Flats in Utah. It starts out at at rest, 40.0 m east (+x) and 32.0 m north (+y) of a camping facility, which we will consider to be the origin. The race car proceeds to accelerate at 8.50 m/s2 at 63.0º north of east. Write the unit-vector equations that describe the car’s (a) position r, (b) velocity v, and (c) acceleration a. (d) How long does it take for the car to reach a speed of 200 km/hr? (e) Where is the car when it reaches this speed?

The answer is:

a) [(40.0 i +32.0 j)+(1.93 i +3.79 j)t2]m; b) (3.86 i +7.57 j)tm/s;
c) (3.86 i +7.57 j)m/s2; d) 6.54 s; e) (1.10103 i +2.13103 j)m

Answer 1

The position velocity and acceleration