A car with an initial speed of 31.4 km/h accelerates at a uniform rate of 1.2 m/s2 for 1.3 s. What is the displacement of the car during this time? Select the most appropriate choice

21.5 m

Explanation:

A car has an initial speed of 31.4 km/hr

Convert to m/s

= 31.4 × 1000/3600

= 31,400/3600

= 8.722 m/s

Acceleration = 1.2 m/s^2

Time= 1.3 seconds.

Therefore the displacement can be calculated as follows

S= 8.722 × 1.3 + 1/2 × 1.2 × 1.3^2

= 11.34 + 1/2 × 20.28

= 11.34 + 10.14

= 21.5 m

show the wavelengths of a wave. show the crests of a wave.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west