(Solved): dynamics A car is in motion along a horizontal straight line. The brakes of the car are applied, ca ...

A car is in motion along a horizontal straight line. The brakes of the car are applied, causing it to slow down at a rate of $2\mathrm{m}/{\mathrm{s}}^2$. Knowing that the car stops in $30\mathrm{m}$, determine: 1. How fast the car was traveling immediately before the brakes were applied; $(in)$ 2. The time required for the car to stop. EXERCISE 2 A projectile is thrown from the edge of a $120?\mathrm{m}$ cliff with an initial velocity of $140\mathrm{m}/\mathrm{s}$ at an angle of $45^{?}$ with the horizontal (figure below). Neglecting air resistance, find: (a) The horizontal distance from the edge to the point where the projectile hits the ground; (b) The greatest elevation above the ground reached by the projectile; (c) When the greatest elevation is reached; (d) The velocity of the projectile just before touching the ground.