Question

A semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp that is inclined at an angle of 17.0° above the horizontal. The semi-trailer coasts to a stop after traveling 120 m along the ramp. What was the truck's initial speed? Neglect air resistance and friction.

Answer 1

Answer:

26.2 m/s

Explanation:

We are given that

$\theta=17^{\circ}$

Distance traveled by truck =s=120 m

Final speed of  truck =v=0

We have to find the  initial speed of truck.

$v^2-u^2=2gs sin\theta$

Where g=$-9.8 m/s^2$

Substitute the values

$0-(u)^2=2(-9.8)(120)sin17$

$-u^2=-686.784$

$u^2=686.784$

$u=\sqrt{686.784}$

u=26.2 m/s

Hence, the initial velocity of truck=26.2 m/s