A daredevil decides to jump a canyon of width 8.88 m. to do so, he drives a motorcycle up an incline sloped at an angle of 22.5 ◦. the acceleration of gravity is 9.8 m/s 2. what minimum speed must he have in order to clear the canyon? answer in units of m/s.

Question

Gillian Villa

Physics

23 September, 17:09

A daredevil decides to jump a canyon of width 8.88 m. to do so, he drives a motorcycle up an incline sloped at an angle of 22.5 ◦. the acceleration of gravity is 9.8 m/s 2. what minimum speed must he have in order to clear the canyon? answer in units of m/s.

+5

Answers (1)

Know the Answer?

Xzavier Humphrey · Answer 1

What we need first is the formula to calculate maximum horizontal distance. It is: R = v^2 (Sin 2A) / g where R is range, v is velocity, A is angle, and g is the gravity constant. we know that R=8.88 meters, A = 22.5 degrees, and g = 9.8 m/s^2 What we are looking for is v=?. We need to solve the equation for v. That gives us: v = ((R*g) / (Sin (2 * 22.5))) * * 1/2 Next, all we have to do is plugin the values. v = ((8.88m * 9.8 m/s**2) / (sin (2*22.5 degrees)) * * 1/2 All this give us v = 10.11 m/s